MODULE-I: MANAGERIAL ECONOMICS
1.1 Introduction
Economics is the study about making choices in the presence of scarcity. The
notions, ‘Scarcity’ and ‘Choice’ are very important in Economics. If the things were
available in plenty then there would have been no choice problem, you can have anything
you want. The point is that problem of choice arises because of scarcity. The study of
such choice problem at the individual, social, national and international level is what
Economics is about. Thus, Economics as a social science, studies the human behaviour as
relationship between numerous wants and scarce means having alternative uses.
Economics, as a basic discipline, is useful for certain functional areas of business
management. Economics could be broadly classified into two categories: 1) Macro
economics and 2) Micro economics. Macroeconomics is the study of the economic
system as a whole. Microeconomics, on the other hand, focuses on the behaviour of the
individual economic activity, firms and individuals and their interaction in markets.
Managerial economics is an applied microeconomics. It bridges the gap between
abstract theories of economics in the managerial decision-making. So, managerial
economics is an application of that part of microeconomics, focusing on those topics of
the greatest interest and importance to managers. The topics include demand, demand
forecasting, production, cost, cost function, pricing, market structure and government
regulation. A strong grasp of the principles that govern the economic behaviour of firms
and individuals is an important managerial talent.
In general, managerial economics can be used by the goal-oriented manager in
two ways. First, given an existing economic environment, the principles of managerial
economics provide a framework for evaluating whether resources are allocated being
efficient within a firm. For example, economist can help the management to determine if
reallocating labour from marketing activity to the production line could increase profit.
Second these principles help managers respond to various economic signals. For
example, given an increase in price of output or development of new lower cost
production technology, the appropriate managerial response would be to increase output.
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Alternatively, an increase in the price of one input, say labour, may be a signal to
substitute other inputs, such as capital, for labour in production process.
1.2 Meaning and Definition of Managerial Economics
Managerial Economics is the application of economic theory and methodology to
decision-making processes within the enterprise.
Hailstones and Rothwell defined managerial Economics as “Managerial
Economics is the application of economic theory and analysis to practices of
business firms and other institutions.”
According to McNair and Merian say that “managerial economics consists of
the use of economic modes of thought to analyze business situations”.
Spencer and Siegelman defined Managerial Economics as “the integration of
economic theory with business practice for the purpose of facilitating decision-
making and forward planning by the management”.
According to Prof.Evan J.Douglas “Managerial Economics is concerned with
the application of economic principles and methodologies to the decision making
process within the firm or organization under the conditions of uncertainties”
In general, Managerial Economics could be defined as the discipline which deals
with the application of economic theory to business management.
1.3. Nature of Managerial Economics
Management is the guidance, leadership and control of the efforts of a group of
people towards some common objective. It tells about the purpose or function of
management. Koontz and O’ Donell define management as the creation and maintenance
of an internal environment in an enterprise where individuals work together in groups,
can perform efficiently and effectively towards the attainment of group goals. Thus,
management is coordination, an art of getting things done by other people. On the other
hand, economics due to scarcity of resources is primarily engaged in analyzing and
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providing answers to the various basic economic problems like what to produce? How to
produce? And for whom to produce? Science of Economics has developed several
concepts and analytical tools to deal with the problem of allocation of scarce resource
among competing ends. Close interrelationship between management objectives and
economic principles has led to the development of Managerial Economics. Managerial
Economics as a link between economic theory and decision science, its purpose is to
contribute to sound decision making not only in business but also in government agencies
and Non- profit organizations. In particular, managerial economics assists in making
decisions about the optimum allocation of scarce resources among competing activities.
The following chart shows the nature of Managerial Economics.
1.4. Scope of Managerial Economics
Scope of the subject is said to be an extent of coverage of the subject concerned or
boundaries within which subject is set in and also the importance of the subject.
Managerial Economics, among others, embraces following important aspects.
Demand Analysis and Forecasting
Production and Cost Analysis
Pricing Decisions, Policies and Practices
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EconomicsTools and Techniques
Business ManagementChoosing the best alternative
Managerial EconomicsApplication of Economics to
Solve business problems
SOUND BUSINESS DECISION
Capital Management, and
Profit Management
Though the above ones are treated as subject matter of Managerial Economics, in the
recent years some of the techniques like Linear Programming, Input-output analysis, etc.
are also become the part of the subject.
1.4.1 Demand Analysis and Forecasting
Demand is a starting force for any business firm to emerge. A business firm is an
economic organism, which transforms productive resources into goods, and services that
are to be sold in a market. So, a major part of managerial decision-making depends on
accurate analysis of demand. Demand analysis helps identify the various factors
influencing the demand for firm’s product and thus provides guidelines to manipulating
demand. Hence, Demand analysis and forecasting, therefore, is necessary for business
planning and occupies a strategic place in Managerial Economics.
1.4.2 Production and Cost Analysis
In the competitive environment, business firms are forced to produce goods and
services with cost effectiveness. Production function and cost analysis enable the firms to
achieve these goals. The factors of production may be combined in a particular way to
yield maximum output. In case the prices of inputs shoot up, a firm is forced to work out
a least cost combination of inputs in producing a particular level of output. Along with
the above, a study of economic costs, combined with the data drawn from the firm’s
accounting records can yield significant cost estimates that are useful for managerial
decisions. The suitable strategy for the minimization of cost could be evolved.
1.4.3 Pricing Decisions, Policies and Practices
The success of a business firm mainly depends on the sound price policy of the
firm. The price policy of the firms determines its sales volume as well as its revenue.
Price X Sales volume = Gross Revenue of the firm
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Therefore, pricing is very important area of Managerial Economics. Important aspects
dealt with under this area are: Price and output determination in various Market forms,
pricing methods, Differential pricing, Product line pricing and so on.
1.4.4 Capital Management
Capital is one of the most important factors of production. In developing countries
like India it is a limiting factor on the economic development. It is to be managed more
efficiently for the overall development of the economy as well as for the prosperity of the
firm. A firm’s capital management is most troublesome and complex activity of business
management. This kind of capital management implies planning and control of capital
expenditure. The major areas dealt here are: Cost of capital, Rate of return and selection
of projects.
1.4.5 Profit Management
All kinds of business firms generally organized for the purpose of making profits.
In the long-run profits provide the chief measure of success. An element of risk deserves
place at this point. Profit analysis becomes an easy task in the absence of risk. However
in the business it is difficult to assume something without risk. The important aspects
covered under this are: Nature and measurement of profit, Profit policies.
The above-mentioned aspects represent the major uncertainties, which a business
firm has to reckon with. Thus, Managerial Economics is application of economic
principles and concepts towards adjusting with various uncertainties faced by a business
firm.
1.5. Managerial Economics and its Relationship with Other DisciplinesManagerial Economics is an interdisciplinary course. In fact most of the
management courses are of that sort. Managerial economics is linked with various other
fields of study. Subjects like Economics, Statistics, Mathematics, and Accounting deserve
greater emphasis in this regard. However, the relation of Managerial Economics is not
confined only to them.
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1.5.1 Managerial Economics and Economics:
Managerial Economics is widely understood as economics applied to managerial
decisions. It may be viewed as a special branch of economics, functioning as bridge
between economic theory and managerial decisions. Microeconomics, one of the main
divisions of economics, is main source of concepts and analytical tools for managerial
economists. To illustrate, concepts such as elasticity of demand, elasticity of production,
demand forecasting, marketing forms, production function etc. are of great significance to
managerial economists. Thus, it is felt that the roots of managerial economics spring from
micro-economic theory. The chief contribution of macroeconomics is in the area of
forecasting of general business conditions. The modern theory of income and
employment has direct implications for forecasting general business conditions.
1.5.2 Managerial Economics and Statistics:
Economics in general, Managerial economics in particular deals with quantifiable
variables. Quantification and estimations plays crucial role in managerial economics.
Therefore, application of statistics in Managerial Economics helps in decision-making in
several ways. It helps in the estimation of demand function, which in turn helps in
demand forecasting. Similarly statistics is also useful in the estimation of production and
cost functions. Estimation of price index relays heavily on statistical tools. In this way
Managerial Economics is heavily rely on statistical methods.
1.5.3 Managerial Economics and Mathematics:
Mathematics is another important discipline closely related to Managerial
Economics. It is again because managerial economics is quantifiable. Knowledge of
geometry, calculus and matrix-algebra is not only essential but certain mathematical
concepts and tools such as Logarithms and Exponentials, Vectors and so on are the tool
kits of managerial economists. In addition, Operations Research is also closely related to
Managerial Economics, used to find out the best of all possibilities. Linear Programming
is an important tool for decision-making in business and industry as it can help in solving
problems like determination of facilities on machine scheduling, distribution of
commodities and optimum product mix etc. Input-output analysis is also very much
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useful in managerial economics. Thus, there is close relationship between Managerial
economics and Mathematics.
1.5.4 Managerial Economics and Accounting:
Accounting mainly deals with systematic recording of the financial reports of
business firms. As a matter of fact accounting information is one of the principle source
of data required by a managerial economist for his decision making purpose. For
example, the profit and loss account of a firm tells how well the firm has done and the
information it contains can be used by a managerial economist to throw light on the
present economic performance of the firm and future course of action. It is in this context
that the growing link between management accounting and managerial economics
deserve special mention. The main task of the management accountants now seen as
being to provide the sort of data which manager needs if they are to apply the ideas of
managerial economists to solve the business problem.
1.6. Fundamental Concepts of Managerial EconomicsManagerial Economics as explained earlier, it is the application of economic
theory to management decision-making. Economic theory offers a variety of concepts
and analytical tools, which can be of considerable assistance to the manager in his/her
decision-making process. These basic concepts or principles are fundamental to the entire
gamut of managerial economics. Some important basic concepts are discussed in this
section. The basic concepts discussed in this section includes:
1. Opportunity cost principle
2. Incremental principle
3. Time perspective principle
4. Discounting principle
5. Equi-marginal principle
1.6.1 Opportunity Cost Principle
Opportunity cost is of fundamental importance in decision-making process. The
opportunity cost principle may be stated as under: The cost involved in any decision
consists of the sacrifices of alternatives required by that decision. If there are no
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sacrifices, there is no cost. Decision implies making a choice from among the various
alternatives. By the opportunity cost of a decision is meant the sacrifice of alternatives
required by that decision. A decision is cost free if it involves no sacrifice. For example,
a businessman invests his own capital in business; its opportunity cost can be measured in
terms of interest, which he could have earned by lending that money to somebody.
Another illustration, when a businessman devotes his time in organizing his business, the
opportunity cost may be measured in terms of salaries he could have earned from some
employment from elsewhere. Thus, in above cases, businessman compares expected rate
of return (prospective yields) from business with current rate of interest/salary and if he
finds that prospective yields happen to be greater than the rate of interest/salary he would
take a positive decision for further investment, otherwise not. Thus, opportunity cost is
the benefit foregone by not selecting the best alternative.
1.6.2 Incremental Principle
The concept of incremental principle is related to the marginal costs and marginal
revenues concepts of economics. The incremental concept refers to the change in total. It
involves estimating the impact of decision alternatives on cost and revenues. The two
basic components of incremental reasoning are incremental cost and incremental revenue.
Incremental cost may be defined as the change in the total cost due to particular decision.
Incremental revenue is the change in total revenue caused by particular decision. Thus,
when incremental revenue exceeds incremental cost resulting from a particular decision,
it is regarded as profitable. This certainly helps arriving at a better decision comparing
between incremental costs and revenues of alternative decisions. For example table 1
illustrates the revenue and cost of producing commodity ‘X’ by ABC Company.
Table 1: Revenue and Cost of X Commodity Pertaining to ABC Company
Sl.No.(1)
Production of X commodity
(2)
Total Revenue
(3)
Incremental Revenue
(4)
Total Cost
(5)
Incremental Cost
(6)
Total profit7=(3-6)
1 1000 20000 - 18000 - 2000
2 2000 39500 19500 37000 19000 2500
3 3000 58500 19000 58500 21500 0
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Increase in production from 1000 units to 2000 units results higher incremental revenue
(Rs.19500) compared to incremental cost (Rs.19000). Therefore, it is advisable to
increase production from 1000 units to 2000 units. Incremental cost (Rs.21500) is more
than the incremental revenue (Rs.19000) when the producer increases his production
from 2000 units to 3000 units.
1.6.3 Time Perspective Principle
The economic concepts like short-run and long-run are part of every day
language. This time perspective of short and long-run period is important in business
decision-making. Managerial economists are also concerned with long and short – run
effects of decisions on revenues as well as costs. Important problem in decision-making
is to maintain the right balance between short-run and long-run considerations.
1.6.4 Discounting Principle
The concept of discounting is applied to future costs and returns as there are
variations in the time perspective underlying different decisions. Discounting originates
from the concept of opportunity cost and time perspective. A simple example would
make this point clear. Suppose a person is offered a choice to have Rs.1000 now or after
two years. He/She would be obviously choosing the first one, as the present value of
Rs.1000 is less after two years than it is available today. In business decision-making
process, thus, the discounting principle may be stated as: “If decision affects costs and
revenues at future dates, it is necessary to discount those costs and revenues to present
values before a valid comparison of alternatives is possible”
1.6.5 Equi-Marginal Principle
Equi-marginal principle deals with the allocation of the available resources among
the alternative activities. According to this principle, an input should be so allocated that
the value added by the last unit is the same in all uses. Suppose a firm has 100 units of
labour at its disposal. The firm engages in three economic activities, which need services
of labour viz. A, B, and C. It could enhance any of these activities by adding more of
labour only at the cost of other activity. Thus, It should be clear that if the marginal value
product is higher in one activity than another, an optimum allocation has not been
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attained. It would therefore, be profitable to shift labour from low marginal value product
activity to higher marginal value product activity. The optimum allocation of labour
could be ensured when:
(VMPL)a = (VMPL) b = (VMPL)c
Here, VMPL refers to the value of marginal product of labour; a, b, c are three activities.
Thus, this principle is greatly useful in the allocation of any of the resources among
alternative uses.
1.7. Objectives of the Firm
Each and every business firm strives to achieve some predetermined objectives. In
the conventional economics emphasis was given to the profit maximization objective. In
modern society, very few experts will argue that a firm is motivated by the sole objective
of maximization of profit. In the modern days a firm invariably pursues multiple
objectives even though one or some of them may receive priority over others. The
objectives of the modern firm could be summarized under the following headings.
1. Profit maximization
2. Long run survival
3. Sales maximization with Profit constraint
4. Cost minimization
1.7.1. Profit Maximisation: The success of any business is measured by the volume of
its net income. The Net Income is the residual income, which accrues to a firm after all
other costs have been met. In other words Net Income = Total Revenue –Total Cost. It
is considered to be the acid test of the performance of the individual firm. Emphasis has
been given to this objective in conventional economics.
1.7.2. Long Run Survival: Economists, in the modern days, however, do not accept
that profit maximisation is the only objective to be attained by the firm. K. Rothdchild
expressed that the primary objective of any business enterprise is long run survival. For
the long run survival to some extent firms compromise with their profit level. In the
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modern days, firms’ aims at limited instead of maximum profit for various reasons.
Professor Joel Dean mentioned some of the reasons for limiting profits viz. 1.To
discourage the potential competitors, 2. To maintain costumers good will, 3. To keep
market control undiluted 4. To maintain pleasant working condition etc.
1.7.3. Sales Maximization with Profit Constraint: Prof. William J. Baumol,
American economist, does not agree with the traditional view that firms aims at
maximizing profit. According to him, the objective of a modern firm is sales
maximisation with a profit constraint. Sales maximisation does not mean an attempt to
get largest possible physical volume of output. Here the sales means the revenue earned
by selling the product. Hence, sales maximisation refers to the maximisation of the total
revenue that measures the quantity of product sold in Rupee terms. It could be presented
with the Support of the figure No.1.1.
Figure 1.1: Sales maximization with Profit constraint
In this figure X-axis measures the output and Y-axis measures the Total Revenue
(TR), Total Cost (TC) and Total Profit (TP). OM is the minimum profit, which the firm
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intends to earn. With the increase in the output/sales level the TR goes on increasing up
to a certain extent then start falling. Similarly TC goes on increasing with the increase in
the sales level. TP is the difference between the TR and TC; hence TP is the vertical
distance between the TR and TC. If the firm intends to get maximum profit it has to
produce/ sale OA quantity of output because TP curve is maximum at point H. On the
other hand if the firm intends to maximize the sales it has to produce and sell OC amount
of the commodity because TR curve maximum at point R2. At OC level of output profit
level (CG) is less than intended level (CP). According to Baumol the firm produce/sell
OB amount of output. It maximizes the total revenue subjected to minimum profit shown
by ML curve. BE is the profit earned by the firm at OB level of output.
1.7.4. Cost Minimization: Whether a firm is pursuing the profit maximisation goal or
total revenue maximisation subjected to profit constraint goal or even long run survival
goal the firm has to produce the goods or render the service at the least cost through the
achievement of the technical efficiency. Cost minimization through the existing technical
efficiency is within the control of the firm. Total revenue, along with quantity of the
commodity sold, depends on the market price of the commodity, which is many a time
beyond the control of the firm. The cost minimization enables the firm to achieve the
objectives discussed above.
1.8 Factors Affecting Managerial Decisions
Managerial decision-making is not just only influenced by economics but also by
various other significant factors. Undoubtedly economic analysis contributes a great deal
to the problem solving in an enterprise, at the same time it is important to remember three
other variables, which have equal impact on the choices and decisions of managers.
Therefore, the major factors affecting managerial decisions are:
1. Economic factors
2. Human and behavioral factors
3. Technological factors, and
4. Environmental factors
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1.8.1 Economic Factors
Economic factor works as backbone for every decision-making particularly, in
case of commercial organizations .In the present day situation it is even extended to not-
for-profit organizations. In business organizations for the purpose of survival and growth
more than anything economic factors like, profit maximization and/or sales revenue
maximization play vital role.
1.8.2 Human and Behavioral Factors
It is proved beyond the doubt that economic factors occupy significant place in
decision-making process. However, economic rationality may not hold well all the times.
Ultimately economics is for the well-being of people concerned. So, management of any
organization will look into their personal comfort as well employees morale and
motivation. It can be observed with small entrepreneurs, who refuse to expand or
diversify their economic activity even though economic rational provides clear signal of
the opportunities ahead that await them. Yet many of them decide to remain small since
they feel that such expansion will tend to strain their lifestyles or threaten their control
over the management.
1.8.3 Technological Factors
Technological factors also play crucial role in managerial decision-making
process. In the resource allocation process management of an organization will assess the
technological alternatives, the technological moves of competitors and emergence of new
technologies and processes. No major investment decision is made without a close
scrutiny of relevant technological alternatives. This is applicable for new establishment,
expansion of an existing concern, modernization and diversification decisions.
1.8.4 Environmental Factors
It is impossible to imagine any business organization in isolation. It functions
amidst of turbulent environment consists of socio-economic, physical, political forces etc.
Environmental pressures operating on the enterprise have a bearing on managerial
decisions even when they are primarily economic in nature. For example, economic
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rationality might suggest a strong case for a price rise and yet the organization might be
forced by political, social hostility not to do the same. In the recent times the force of
environmental considerations is growing stronger. Public awareness about the impact of
firm level decisions on society is growing. Politicians, consumer activists, community
organizations and so on are increasingly concerned about the nature and consequences of
these decisions and constantly make their presence felt which may conflict with the
economic rationality.
1.9. Self Review Questions
1. Define Managerial Economics and discuss its nature and scope.
2. “Managerial Economics is economics applied to decision-making” Explain.
3. Explain how managerial economics is related to Economics, Mathematics, Statistics
and Accounting.
4.Discuss the objectives of a modern business firm.
5. Explain the factors influencing the managerial decisions.
6. Define opportunity cost? Explain its applications in management decisions.
7. Describe the importance of equi-marginal principle in Managerial decision making
process.
8. Explain the importance of incremental principle in the management science.
1.10. References/ Suggested Readings
1. Varshney RL, and Maheshwari K.L: “Managerial Economics”, Sultan Chand & Sons,
New Delhi-110002
2. Mote, V. L., Samuel Paul, Gupta,G. S: “ Managerial Economics: Concepts and Cases”,
Tata McGraw-Hill Publishing Company Limited, New Delhi
3. D.M.Mithani : “Managerial Economics: Theory and Applications”, Himalaya
Publishing House, Mumbai-400 004
6. Gopalakrishna, D.: “ A Study in Managerial Economics” Himalaya Publishing House,
Mumbai-400 004
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MODULE-II: DEMAND ANALYSIS AND FORECASTING
2.1 Introduction
The success or failure of a business depends primarily on its ability to generate
revenues by satisfying the demand of consumers. Firms that are failed to attract the
consumers are soon forced to be out of the business. Demand analysis is a source of
many useful insights for business decision-making. It serves the following managerial
objectives;
It helps in product planning and product improvement.
It gives direction for demand manipulation through advertising and sales
promotion strategies.
It is useful technique for demand forecasting with greater reliability.
It reveals the scope of business expansion.
It is, therefore, worthwhile to understand some of the concepts related to demand
analysis. Meaning, types, determinants of demand, demand functions, elasticity of
demand and demand forecasting are discussed in this chapter.
2.2 Meaning of Demand.
Demand, ordinarily, is defined as desire. But desire of a beggar to travel by air
could not be materialized for lack of his ability to pay. Desires come and vanish. So all
such desires could not be considered as demand. A desire to be called demand should be
backed by two things; one, ability to buy and two, willingness to buy. Thus, the demand
for any commodity is the desire for that commodity backed by willingness as well as
ability to pay for it and is always defined with reference to a particular time and at given
price. Demand = Desire + Ability to pay (purchasing power) + Willingness to pay. In
another way the demand for a product could be defined as the amount of it, which
will be bought per unit of time at a particular price. It is not out of context to
introduce some of the concepts pertaining to the concept demand. The concept of
Individual demand, Market demand, the law of demand, and change in quantity demand
versus change in demand.
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2.2.1 Individual Demand and Market Demand
An individual demand refers to, other things remaining the same, the quantity of a
commodity demanded by an individual consumer at various prices. Market demand is the
summation of demand for a good by all individual buyers in the market. The distinction
between individual demand and market demand has been explained with the help of
individual and market demand schedule as well as demand curves.
Tab-2.1:Individual Demand Schedule
Price (Rs.) Quantity demanded
(units)
6 10
5 20
4 30
3 40
2 60
1 80
Fig 2.1 Individual Demand Curve
An individual demand refers to the quantity of a commodity demanded by an
individual consumer at various prices, other things remaining same. An individual’s
demand for a commodity is shown on the demand schedule (Table-2.1) and demand
curve (Fig 2.1). A demand schedule is a list of prices and quantities and its graphical
representation is demand curve. It could be seen from the demand schedule that as the
price of the commodity goes on declining the quantity demand goes on increasing. Only
10 units of commodity are demanded when the price is Rs. 6 per unit whereas the
quantity demand increased to 80 units when the price declined to Rs.1 per unit. DD1, in
figure 2.1, is the demand curve drawn on the basis of the above demand schedule. The
dotted points D, Q, R, S, T and U are the ‘demand points’. They show the various price-
quantity combinations. The demand curve shows the effect of rise or fall in the price of
one commodity on the consumer’s behaviour.
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In a market, there will be many consumers for a commodity. Therefore, Market
demand shows the sum total of various quantities demanded by all the individuals at
various prices. The market demand of a commodity is depicted on a demand schedule
and demand curve. Suppose there are three individuals A, B, and C in a market who
purchase the commodity. The demand schedule for commodity is depicted in table-2.2.
The column 5 of the table represents the market demand for the commodity at various
prices. It is obtained by adding the column 2, 3 and 4 which represent the demand of the
consumers A, B and C respectively. The relation between column 1and 5 shows the
market demand schedule.
Table 2.2 Market Demand for the X Commodity
Price (Rs./Kg)
(1)
Quantity demand in Kgs.
Consumer A
(2)
Consumer B
(3)
Consumer C
(4)
Market Demand
(5) (2+3+4)
6 10 20 40 70
5 20 40 60 120
4 30 60 80 170
3 40 80 100 220
2 60 100 120 280
1 80 120 160 360
The market demand for the commodity at the price level of Rs.6 per unit is 70 Kg. The
market demand increased to 360 Kg with the fall in the price to Rs.1 per Kg. In the figure
2.2, Dm is the market demand. It is the horizontal summation of all the individual demand
curves DA+DB+DC. The market demand for a commodity depends on all factors that
determine an individual demand.
2.2.2. The Law of Demand
The law of demand describes the general tendency of consumers’ behaviour in
demanding a commodity in relation to the change in its price. The law of demand simply
states that the quantity demand of a commodity varies inversely to change in price.
“Ceteris paribus, the higher the price of a commodity, the smaller is the quantity
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demand and lower the price, larger the quantity demand”. The law of demand
relates the change in quantity of demand to the change in the price variable only. It is
always stated with the ceteris paribus i.e other things remaining same. It assumes other
determinants of demand to be constant. Thus the law of demand based on, among others,
the following major assumptions:
No change in the price of related goods
No change in the consumers income
No change in the consumers preference
No change in the advertisement strategies of business houses
Figure 2.2: Market Demand Curve
It is almost a universal phenomenon of the law of demand that the demand curve
slopes downward from left to right. In certain cases demand curve may slopes up from
left to right. It is because consumer may buy more when the price of a commodity rises
and less when price falls. Such circumstances are termed as exceptions to law of demand.
Exceptional cases may be categorized as;
1.Giffen found that in the 19th century, Ireland people were so poor that they spent a
major part of their income on Potatoes and small part on meat. For them potatoes and
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meat are inferior and superior goods respectively. When price of potatoes rose, they had
to economise on meat even to maintain the same consumption of potatoes. Further to fill
up the resulting gap in food supply caused by a reduction in meat consumption, more
potatoes had to be purchased because potatoes were still the cheapest food. Thus the rise
in the price of potatoes increased the demand for potatoes. Such goods are popularly
known as Giffen goods.
2. Some goods are purchased mainly for their snob appeal. When the price of such goods
rises, their snob appeal increases and they are purchased in large quantity and vis-à-vis.
Such goods are called Veblen goods. It is named after an American economist, Thorstein
Veblen, who advocated that some purchases were made not for the direct satisfaction,
which they yield, but for the impression, which they made on other people.
3. In the speculative market, a fall in price is frequently followed by smaller purchase and
a rise in price by larger purchases. When price of certain goods rises, people may expect
further rise and rush to buy. When price fall, they may wait for further falls, and stop
buying.
2.2.3. Change in Quantity Demand versus Change in Demand
The movement along the demand curve measures the change in quantity demand
in relation to the change in price while change in demand is reflected through shift in
demand curve. The phrase ‘Change in quantity demand’ essentially implies variation in
demand referring to ‘extension, or ‘contraction’ of demand which are quite distinct from
the term ‘increase or decrease in demand.
A. Extension and Contraction of Demand
A movement along a demand curve takes place when there is a change in the
quantity demand due to change in the commodity’s own price. The extension of demand
refers to a situation when more of a commodity is bought with the fall in the price.
Similarly, when a lesser quantity is demanded with a rise in price, there is a contraction
of demand. In short, demand extends when the price falls and it contracts when the price
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rises. The term extension and contraction are technically used in stating the law of
demand. Figure 2.3 illustrates the extension and contraction of demand.
Fig.2.3: Extension and Contraction of Demand
In the figure 2.3 D1D1 is the demand curve. When the price is OP1, the quantity
demand is OQ1. With the fall in price to OP2 the quantity demand rises to OQ2. Thus,
with the fall in price there has been a downward movement from A to B along the same
demand curve D1D1. This is known as extension in demand. On the contrary, if we take B
as the original price-demand point, then a rise in the price from OP2 to OP1 leads to a fall
in the quantity demand from OQ2 to OQ1. The consumer moves upwards from point B to
A along the same demand curve D1D1. This is known as contraction in demand.
B. Increase and Decrease in Demand
These two terms are used to indicate change in demand. A change in demand,
thus, implies an increase or decrease in demand. An increase in demand signifies either
more will be demanded at a given price or same quantity will be demanded at higher
price. It really means that more is now demanded than before at each and every price.
Similarly decrease in demand indicates either that less will be demanded at a given price
or the same quantity will be demanded at the lower price. The terms increase and
decrease in demand are graphically expressed by the movement from one demand curve
to another in figure 2.3A and B respectively.
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Fig. 2.3: Increase in Demand (A) and Decrease in Demand (B)
In the case of increase in demand, the demand curve shifted to the right. In figure
2.3 (A) the shift of demand curve from DD to D1D1 shows an increase in demand. In this
case a movement from point ‘A’ to ‘B’ indicates that the price remains same at OP, but
more quantity (OQ2) is now demanded instead of OQ1. Here, increase in demand is Q1Q2
which due to the factor other than price. Similarly the shifting of demand curve towards
its left depicts a decrease in demand. In the figure 2.3 (B) the decrease in demand is
depicted by the shift of demand curve from D1D1 to D2D2. In this case the movement
from point ‘A’ to ‘B’ indicates that the price remains same at OP but quantity demanded
decreased by Q1Q2.The decrease in demand by Q1Q2 quantity is due to the factor other
than price.
2.3 Types of Demand
The demand behaviour of the buyer or consumer is different with different types
of goods. Demand could be classified in to following types from managerial point of
view.
a. Demand for Consumer’s Goods and Producer’s Goods.
b. Demand for Perishable Goods and Durable Goods
c. Derived Demand and Autonomous Demand
d. Joint Demand and Composite Demand
e. Industry Demand and Company Demand
f. Demand by Total Market and by Market Segment.
g. Short-run Demand and Company Demand.
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a) Demand for Consumers’ Goods and Producers’ Goods.
Producer goods are those, which are used for the production of other goods.
Examples for such goods are machines, tools, raw materials, locomotives etc.
Consumers’ goods can be defined as those, which are used for final consumption.
Examples of consumers’ goods can be food items, tooth paste, ready-made cloth etc.
these goods satisfies the consumers’ wants directly. The distinction between consumers’
and producers’ goods is somewhat arbitrary. Whether a particular commodity is producer
good or consumer good depend upon who buys and what for. For example, sugar in the
case of a confectioner is a producer good, whereas in case of a household it is a consumer
good. However the distinction is useful because, among other factor, demand for
consumer goods depends on consumers’ income whereas demand for producer good
depends on demand for the products of the industries using this product as an input.
b) Demand for Perishable Goods and Durable Goods
Perishable goods are those, which can be consumed only once, while durable
goods are those, which can be consumed more than once over a period of time. Sweets,
ice cream, fruits, vegetables, edible oil, petrol etc. are perishable goods. Car, refrigerator,
machines, building are durable goods. It is important to note that perishable goods are
themselves consumed whereas only the services of durable goods are consumed. This
distinction is useful because durable products present more complicated problems in
demand analysis than the products of durable nature. Sales of perishable are made largely
to meet current demand, which depends on current conditions. Sales of durables, on the
other hand, add to the stock of existing goods whose services are consumed over a period
of time. Thus they have two kinds of demand Viz. replacement of old products and
expansion of the total stock. Their demand fluctuates with business conditions.
c. Derived Demand and Autonomous Demand
The demand for a product is said to be derived demand if demand for such
product is tied to the purchase of some parent product. For example the demand for
cement is a derived demand because it is needed not for it’s own sake but for satisfying
the demand for buildings. The demand for all producers’ good is derived. Autonomous
demand, on the other hand, is not derived. In case of autonomous demand, demand for a
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product is independent of demand for other goods. Today, it is difficult to find the
products whose demand is wholly independent of demand for other goods. However, the
degree of this dependence varies widely from product to product. For example, the
demand for petrol is fully tied up with the demand for vehicles using the petrol, while the
demand for sugar is loosely tied up with demand for drinks. Thus the distinction between
derived and autonomous demand is more of a degree than of kind.
d) Joint Demand and Composite Demand
When two goods are demanded in conjunction with one another at the same time
to satisfy a single want, they are said to be joint or complimentary demand. Examples are
pens and inks, bread and butter, sugar and milk and so on. A commodity is said to be
composite demand if it is wanted for several different uses. Electricity is needed for
lighting, cooking, ironing, boiling the water, lifting water, T.V, radio and many other
uses.
e) Industry Demand and Company Demand
At the outset let us understand the concept of industry and company. An industry
is a group of companies or firms, which produce similar goods or services. A company is
a single firm producing a particular type of goods or services. Sugar industry in India
consists of all the companies of the country, which produce the sugar. Shamanur sugars is
a company or a firm which produces the sugar. Industry demand denotes the demand for
the products of a particular industry while company demand means the demand for the
products of a particular industry. For example, demand for steel produced by TISCO is a
company (TISCO) demand while demand for steel produced by all companies in India is
industry demand for steel in India.
f) Demand by Total Market and by Market Segment.
Total market demand refers to the total demand for a product where as market
segment demand refers to a part of it. Demand for certain products has to be studied not
only in its totality but also by breaking it into different segments. Viz. different regions,
different use for the product, different customers, different distribution channels and also
its different sub products. Each of these segments may differ significantly with respect to
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delivery price, profit margin, competition and seasonal pattern. When these differences
are considerable, demand analysis should focus on the individual market segments.
Knowledge of these segments’ demand helps a unit in manipulating its total demand.
g) Short-run Demand and Company Demand.
Short-run demand refers to demand with its immediate reaction to price changes,
income fluctuations etc. Long-run demand is that which will ultimately exist as result of
change in pricing, promotion or product improvement after enough time has been
allowed to let the market adjust itself to new situation. For example, if electricity rates are
reduced, in the short run existing users of electric appliances will make greater use of
these appliances but in the long run more and more people might induced to purchase
these appliances ultimately leading to still greater demand for electricity.
2.4 Determinants of Demand
Demand for a commodity depends on various factors. Factors influencing the
demand could be classified into two groups. Factors influencing the individual demand
and market demand.
A) Factors Influencing the Individual Demand
Factors influencing the individual demand are explained as follows:
Price of the product: Normally, a large quantity is demanded at lower price and
vis-à-vis.
Income level of the consumer: Purchasing power of an individual consumer
depends on his income level. Therefore, income level is an important
determinant of demand. Consumers with higher income level demand more and
more goods compared to the consumers with lower income level.
Price of the related goods: Demand for a particular commodity depends on the
price of its related goods such as substitute and complementary goods. For
example if the price of tea increases the demand for coffee is expected increase
because tea and coffee are substitutes for many consumers. Similarly with the
increase in the price of petrol the demand for vehicles is expected to decrease
because car and petrol are complementary goods.
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Taste, Habit and Preferences of the consumers: People with different taste
and habit have different preference for different goods. Demand for several
products like beverages, ice cream, chocolates and so on are depending on the
individual’s taste. Similarly demand for tea, coffee, gutka betel, cigarette,
tobacco is a matter of habits of the consumers. A strict vegetarian will have no
demand for meat at any price whereas a non-vegetarian who has liking for
chicken may demand it even at higher price.
Expectation: Consumer’s expectations about the future change in the prices of a
given commodity influence the demand for such commodity. When he expects
its price to rise in the future, he will buy less at the prevailing price. Similarly, if
he expects its price to fall in future, he will buy less at present.
Advertisement: Nowadays advertisement plays crucial role in altering the
preferences of the consumers. Demand for products like toothpaste, toilet soaps,
cosmetics etc. are greatly influenced by the advertisements.
B) Factors Influencing the Market Demand
Market demand is the sum total of various quantities demanded by all the
individuals at various prices. Therefore, factors influencing individual demand are also
influencing the market demand. In addition to the factors explained above (in section A)
following factors influence the market demand.
Distribution of income and Wealth in the country: Market demand for goods
and services is more in countries with equal distribution of income and wealth
compared to the countries with unequal distribution.
Growth of population and number of buyers in the market: Market demand
for the products depends on the number of buyers. Number of buyers in the
market, among other factors, mainly depends on the population size and its
growth. A large number of buyers will usually constitute a large demand vis-à-
vis. Therefore, growth of population over a period of time increases the demand
for goods and services in the market.
Age and sex structure of the population: Age structure of population
influences the demand for various goods and services in the market. In the
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country with bottom heavy age structure (relatively more children), relatively
more children, the market demand for toys, school bags, chocolates etc. will be
relatively more. Similarly sex structure also influences the demand for goods and
services in the market. If sex ratio is favorable to females then the demand for
goods and services required for females will be relatively more. For example
demand for goods like saries, bangals, lipsticks etc. is more in the countries with
the sex ration favourable to females.
Climatic conditions: Demand for certain products is determined by climatic
conditions. For example, in rainy season, there will be more demand for
umbrellas, rain coats et. Similarly demand for cool drinks, ice creams, fans etc.
are more in summer season.
2.5 Demand Function
A demand function states the functional relationship between the demand for a
commodity or services and the factors or variables affecting it. The demand function for
commodity X can be symbolically stated as follows:
Dx = f(Px) 2.1
Where,
Dx = Demand for X
Px = Price of x commodity
The function 2.1 demand for commodity X depends on the price of the commodity. It
does not consider the demand influencing factors other than the price. This is a single
variable model. Multiple variable models are presented in the following function (2.2).
Dx = f (Px, I, Pr, A, U) 2.2
Where
Dx = Demand for X
Px = Price of X
I = Income of the consumer
Pr =Price of the related goods
A =Advertisement or sales promotional activities
U =Error term
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The demand function 2.2 shows that the quantity demand of X influenced by the
price of commodity X, income of the consumers, price of its related goods and
advertisement or sales promotion activities. The demand for commodity X might be
influenced by the factors other than these factors also. The influence of the variables
other than those included in the model is represented by error term (U). It is a general
form of demand function because the independent variables included in the model (RHS)
are considered to be influencing the quantity demand of commodity X but it does not
reveal in what direction and to what extent they are influencing. The empirical demand
function shows the quantitative relationship between the demand for a particular
commodity and its determinants. Empirical demand function also reveals the direction of
relationship between the dependent variables (Quantity demand of a commodity) and
independent variables (Demand determinants) through the sign (i.e + or -).
2.6 Elasticity of Demand
Demand usually varies with variation in the price. The law of demand states that
with the fall in the price of commodity, the quantity demand increases and vis-à-vis. But
it does not states by how much the quantity demand increases as a result of certain fall in
the price of the commodity. Elasticity of demand is a useful tool to understand the extent
of change in quantity demand due to change in price or other demand influencing factors
like income, price of related goods and advertisement.
2.6.1 Meaning of Elasticity of Demand.
The term elasticity of demand, very often, used as a synonymous of price
elasticity of demand. This is a loose interpretation of the term. In the strict sense of the
term the concept of elasticity of demand refers to the responsiveness of the quantity
demand to the change in demand determinants. It can be depicted as
Percentage change in quantity demand Elasticity of Demand = Percentage change in demand determinant
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The demand determinants mainly include the price of the commodity, price of related
good, income of the consumer.
2.6.2 Types of Elasticity of Demand.
There are as many types of price elasticity of demand as there are demand
determinants. However, considering its major determinants economists broadly classified
the elasticity of demand into following types.
Price elasticity of demand
Income elasticity of demand
Cross elasticity of demand
2.6.3 Price Elasticity of Demand.
In the words of Prof. Lipsey “Price elasticity of demand may be defined as the
ratio of the percentage change in quantity demand to the percentage change in price.”
Price elasticity of demand may be written as
Percentage change in quantity demand Price Elasticity of Demand = Percentage change in Price
In the algebraic form it could be presented as Ep = [ΔQ/Q] / [ΔP/P]
Where Ep = Coefficient of Price Elasticity of Demand ΔQ = Change in demand Q = Initial demand ΔP = Change in Price
Ep is the coefficient of price elasticity of demand. The coefficient of price elasticity of
demand is always negative because price and quantity demand varies inversely with the
change in the price of the commodity. It is, however, customary to disregard the negative
sign. Using the above formula, the numerical coefficient of price elasticity of demand can
be measured for any given data. Obviously, depending on the magnitudes and
proportionate changes involved in data on demand and prices, one can obtain various
numerical values ranging from zero to infinity. Price elasticity of demand depending on
the value of coefficient could classify into different types.
2.6.3.1 Types of Price Elasticity of Demand.
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A. Perfectly Elastic Demand
In case of perfectly elastic
demand, a slight or infinitely
small rise in price of a
commodity, consumers stop
buying it. The numerical
coefficient of perfectly elastic
demand is infinity (Ep=α) The
demand curve, in this
case, will be a horizontal
straight line. In figure
2.4 DD demand curve is
horizontal to OX axis.
Fig 2.4: Perfectly Elastic Demand
B. Perfectly Inelastic Demand
Perfectly inelastic demand is one
for whatever the change in price;
there is absolutely no change in
demand. In this case, the quantity
demand shows no response to a
change in price. Thus, perfectly
elastic demand has zero coefficient
(Ep=0). In figure 2.5 DD demand
curve is a vertical line. In this case,
whatever may be the price level the
quantity demand remains same at
OD.
Fig 2.5: Perfectly Inelastic Demand
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C. Relatively Elastic Demand
If a reduction in price leads to more
than proportionate change in quantity
demand, the demand is said to be
relatively elastic. For example if 5
per cent decline in price leads to 10
per cent increase in quantity demand,
the demand is said to be relatively
elastic. In this case coefficient of
elasticity of demand is greater than 1
but it is not infinite. In figure 2.6
DD1 demand curve is relatively
flatter.
Fig 2.6: Relatively Elastic Demand
D. Relatively Inelastic Demand
If a decline in price leads to less than
proportionate increase in quantity
demand, the demand considered to be
relatively inelastic. For example if a 5
per cent decline in price leads to 3 per
cent increase in quantity demand then
demand considered to be relatively
inelastic. In this case the coefficient
of elasticity of demand lies between
zero and one. DD1 demand curve in
figure 2.7 is relatively steeper.
Fig 2.7: Relatively inelastic Demand
E. Unitary Elastic Demand
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Price elasticity of demand is unity when the
change in demand is exactly proportionate
to the change in price. For example if a 5
per cent increase in price leads to 5 per cent
decrease in quantity demand then demand
considered to be unitary elastic. In this case
the coefficient of elasticity of demand is
one. DD demand curve in figure 2.8 is a
rectangular hyperbola.
Fig 2.8: Unitary Elastic Demand
2.6.3.2 Factors Influencing Price Elasticity of Demand.
a) The availability of substitutes: The demand for a commodity is more elastic if
there are close substitutes for the commodity.
b) The nature of the need that the commodity satisfies: In general luxury goods
are price elastic, while necessities are price inelastic.
c) The time period: Demand is more elastic in the long run than in the short run.
d) The number of uses to which a commodity can be put: The more the possible
uses of a commodity the greater its price elasticity will be.
e) The proportion of income spends on the particular commodity: The demand
is inelastic if a very small proportion of income is spent on a particular
commodity.
2.6.4 Income Elasticity of Demand.
The income elasticity is defined as a ratio of percentage or proportionate change
in quantity demand to percentage or proportionate change in income. The coefficient of
income elasticity of demand could be measured by the following formula:
Percentage change in quantity demand Income Elasticity of Demand = Percentage change in Income
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In the algebraic form it could be presented as Ey = [ΔQ/Q] / [ΔY/Y]
Where
Ey = Coefficient of Income Elasticity of Demand ΔQ = Change in demand Q = Initial demand ΔY = Change in income Y = Initial income
The coefficient of income elasticity of demand will be positive for the normal goods.
Some economists have used income elasticity in order to classify the goods into luxuries
and necessities. A commodity is considered to be a luxury if its income elasticity is
greater than unity. A commodity is a necessity if its income elasticity is small(less than
unity).
2.6.4.1 Factors Influencing Income Elasticity of Demand.
a) The nature of the need that the commodity covers: The percentage of income
spent on food declines as income level increases while the percentage of income
spent on the luxuries increases with increase in income level.
b) The initial level of income of a country: TV is a luxury in a poor country while it
is a necessity in a country with high per capita income.
c) Time period: Time period influence the income elasticity of demand because
consumption pattern adjust with a time lag to changes in income.
2.6.4.2 Uses of Income Elasticity of Demand.
a) Business planning: In India, per capita income is low and it has been slowly
increasing. Since income elasticity of income for luxury goods is more, the
prospect for long run growth in sales for these goods is very bright. The firms can
plan out its business accordingly.
b) Marketing strategy: Income elasticity of demand is helpful in developing the
marketing strategy.
2.6.5 Cross Elasticity of Demand.
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The cross elasticity of demand refers to the degree of responsiveness of demand
for a commodity to a given change in the price of some related commodity. The related
commodity may be substitute or complementary. The coefficient of cross elasticity of
demand could be measured by the following formula:
Percentage change in quantity demand of X Cross Elasticity of Demand = Percentage change in Price of Y
In the algebraic form it could be presented as Ey = [ΔQx/Qx/ [ΔPy/Py]
Where Ec = Coefficient of Cross Elasticity of Demand ΔQx = Change in Quantity Demand of x Qx = Initial Quantity demand of x ΔPy = Change in price of Y Py = Initial price of Y
The concept of cross elasticity of demand can be useful in determining competitive price
strategy and policy in the substitute goods or complementary goods such as coco cola or
Pepsi, tea or coffee. Coefficient of cross elasticity of demand here is taken, as a measure
of effect of a change in the price of coco cola on the demand for Pepsi. Similar is the case
with respect to tea or coffee.
2.7 Demand Forecasting
In the business production of goods or services is of no use if there is no demand for
goods or services produced by the business houses. Demand forecasting is an useful tool
in anticipating the future demand which enable the business house to take the appropriate
business decisions. In this section meaning, types, purpose and methods of demand
forecasting are discussed.
2.7.1 Meaning of Demand forecasting
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Demand forecasting means an estimation of the level of demand that might be
realized in future under given circumstances. It is not a speculative exercise into the
unknown. It is based on mathematical laws of probability. It can’t be hundred per cent
precise. But it gives a reasonable accuracy. Thus, demand forecasting involves
predicting future economic condition and assessing their effect on the operation of the
firm and its demand. The objective of demand forecasting is to predict the future demand.
2.7.2 Classification of Demand Forecasting
Demand forecasting can be classified into different types based on the different
criterion. Demand forecasting can be classified into short-run and long run demand
forecasting based on the time period. Similarly based on the role of the demand
forecasting firm demand forecast can be classified into active demand forecast and
passive demand forecast. Based on the level of demand forecasting it could be classified
into macro, industry and firm level demand forecasting.
a) Short-period and Long period demand forecast: Short-run forecasting, usually,
covers any period up to one year. Long period, on the other hand, will cover any
period more than one year. Normally it covers the period of 5, 10 or even 20
years. Short-run forecasting useful in taking decision concerning the day to day
working of the firm whereas long run forecasting facilitates major strategic
decisions.
b) Passive and active demand forecasting: Passive demand forecasting predicts the
future demand in the absence of any action by the firm. While active forecasting
estimate the future demand taking into consideration of the likely future action of
the firm. For example, Samsung electronic company takes no policy actions to
influence its future sales, what would be sales in the year 2010? Such forecasts
are passive demand forecasts. However, forecasted level of sales may not be
desirable level and so the company may be initiated some sales promotion actions
with a view to increase its future sales. The predicted sales if such planned sales
promotion activities are undertaken denote the active forecast.
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c) Macro, Industry and Firm level demand forecasting; Macro-economic forecasting
refers to the forecasting of business conditions over the entire economy.
Aggregate demand for goods and services in the entire economy can be
forecasted. Such forecast is called as macro-economic forecasting. Forecasting the
demand for the products of a particular industry is the industry level demand
forecasting. Generally, it is undertaken by the trade association and the results are
made available to the member firms. A firm can forecast the demand for its
products at its own level. It is called firm level demand forecasting. It is most
important from the point of view of managerial decisions.
2.7.3 Purpose of Demand Forecasting:
The purpose of demand forecasting could be classified into purpose of short-term
and long-term demand forecasting. They are separately explained hereunder:
A Purpose of Short-Term Demand Forecasting:
o It is useful in appropriate production Scheduling: To avoid the problem of
over production and the problem of short supply appropriate production
scheduling is essential for which demand forecasting is useful.
o It helps in purchase planning to reduce the cost of operation: Demand
forecasting enables the firms to understand the right quantity of resources
required to the firm at different points of time, which in turn, reduces the cost
of operation.
o It is useful in adopting suitable advertising and promotional programme. A
short-term demand forecasting is useful in evolving suitable sales policy in
view of the seasonal variation of demand.
o It is useful in forecasting short-term financial requirements. A firm’s need for
cash depends on its production level. Without sales forecasting a rational
financial planning is not possible.
o It is useful in determining appropriate price policy: Short-term sales
forecasting will help the firm in determination of a suitable price policy to
35
clear off the stocks during the off-season, and to take advantage in the peak
season.
B Purpose of Long-Term Demand Forecasting:
o Long-term demand forecasting is useful for planning of a new unit or
expansion of an existing unit.
o It is useful in planning long term financial requirements
o It is useful in planning the manpower requirements. Manpower development
requires long time. Manpower development process has to start well in
advance to meet the future manpower requirements.
2.7.4 Methods of Demand Forecasting
Demand forecasting mainly involves two important methodological aspects viz.
data collection and analytical methods. Demand for any goods or services could be
forecasted based on the available information or data on the related parameter. Demand
forecasting may be based on two types of data sources viz primary sources and secondary
sources. Primary data or information is original in nature which is collected for the first
time for the purpose of analysis. Secondary data, on the other hand, are those which are
obtained from someone else records. These data are already in existence in the recorded
or published form. In case of primary data, demand forecaster has to collect the data
through some sort of survey method. The collected data has to process through some
statistical technique. Method of demand forecasting, therefore, has been discussed under
two headings viz. 1 Survey Method and 2. Econometric Method
2.7.4.1. Survey Method.
In the demand forecasting survey plays vital role. The data required for the demand
forecasting could be collected through the survey method. For the purpose of demand
forecasting survey method could be classified into following types (Chart 2.1):
i) Experts Opinion Survey Method: In this method the future demand for a particular
commodity is estimated based on the opinions of experts in the marketing of that
particular commodity. Since salesmen are in close contact with customers in their
36
respective areas, they can forecast consumer behavior in the market in the future. Hence,
under this method salesmen are to estimate the expected sales in their respective area.
These estimates of individual salesmen are to be consolidated in order to obtain the total
estimated sales for the future.
Chart 2.1: Types of Survey Method of Demand Forecasting
Survey Method
The top executives of the firm are to further examine the total estimated sales in
the light of the factors like proposed change in the selling price, packaging design,
advertisement programme, change in macro variable like purchasing power of the people
etc. Through these processes a firm could come out with its final demand forecast. This
method is also known as the ‘collective opinion method’ because it takes the advantage
of the collective wisdom of the salesmen’s, corporate heads, dealers etc. This method is
cheaper and easy to handle. It is less time consuming also. The main limitation of this
method is that it tends to substitute opinion for analysis of the situation. It is purely
subjective and different experts may have significantly different forecasts.
37
Survey Meyhod
Experts’ Opinion Survey Consumers Interview
Census Method Sample Survey End Use Method
ii) Consumers Survey Method: Consumers, the potential future buyers are focal point for
the demand forecasting. Under this method, consumers are directly asked about their
future plan of purchase. This may be done in any of the following ways:
a) Complete enumeration method
b) Sample survey method
c) End use method
a) Complete Enumeration Method: Under this method forecaster has to collect
information from all consumers of the commodity for which he wishes to forecast the
demand. He asks every consumer the quantity of that commodity he would like to buy in
the forecasting period. Once this information is collected, demand could be forecasted by
simply adding the probable demand of all consumers. For example there are ‘n’ number
of consumers and their probable demand for commodity X in the forecast period are X 1,
X2, X3…Xn then the demand forecast would be
X = X1 +X2 + X3 +…Xn
In this method the forecasting agency could not introduce any bias of its own. Just it has
to collect the information and tabulate them. Report has to be prepared accordingly. But it
is an expensive and time-consuming method for the products having large number of
consumers.
b) Sample Survey Method: In sample survey method forecaster aimed to ascertain the
characteristics of parameter based on the characteristics of statistic. For example, ABC
company intended to forecast demand for its X commodity. Suppose ABC firm has
about one lakh consumers. Expected aggregate quantity demand of these one-lakh
consumers in the forecasting period (say in the year 2010) is parameter of this demand
forecasting. Demand forecaster can draw conclusion about this parameter by two
different methods. 1) Complete enumeration method and 2) Sample survey method.
In complete enumeration method forecaster collect information from all the one-
lakh consumers about their expected quantity demand for forecasting period and forecast
the demand based on this information (the details of this method discussed in the earlier
section). In case of sample survey method forecaster need not collect information from all
38
the one-lakh consumers. He has to choose some sample respondents out of one-lakh
consumers using appropriate sampling method and sample size. He may adopt simple
random sampling method or stratified random sampling method or cluster sampling
method or even snowball sampling method according to the nature of the population
distribution. Forecaster may choose 100 or 500 sample respondents or 1000 or more
sample respondents based on the available time, budget, expected level of accuracy of the
result etc. For this example let us assume that the forecaster has selected 500 respondents
using the simple random sampling method. After collecting information from the sample
respondents he can calculate the expected average demand of these selected respondents
for the forecasting period. The value calculated for the sample is known as the sample
statistics.
åXX1+X2+……….X500 = ------ = X
500Here, X is the sample statistics because it is estimated for the sample respondents. In this
example X .N = Aggregate demand for the forecasting period. In this example N refers to
the population size i.e. one lakh. Thus conclusion about the aggregate demand by the
one-lakh consumers is estimated by using the data collected from the 500 sample
respondents.
This method of demand forecasting is less expensive and requires less time when
compared to complete enumeration method. If sample is properly chosen the sample
survey method will yield good results. However it is not so simple to choose the
representative sample. If sample is not good representative of the population concerned
then the results will mislead the producers.
C) End use Method of Demand Forecasting: This method of demand forecasting is
suitable if the producer/firm desire to obtain use-wise or sector wise demand forecasts. In
this method of demand forecasting, the demand for a particular commodity is estimated
through a survey of its users of different uses. For example a commodity may be used
for:
i. Final consumption
ii. Production of some other commodity
39
iii. Export
In this method demand forecaster is to obtain separate demand forecast for these different
uses. For example a steel firm wants to forecast demand for steel in the year 2010. It can
be obtained as
Sd2010 = Sc2010 + Se2010 + asi.(Xi)2010
Where
Sd2010 = Total demand for the steel in the year 2010
Sc2010 = Consumption demand for steel in the year 2010
Se2010 = Export demand for steel in the year 2010
asi. = Steel requirement of ith industry per unit of its output
(Xi)2010 = Output of ith industry using steel as an input
Consumption demand and export demand could be directly estimated by using the
appropriate method. Demand for intermediate use could be forecasted through the survey
of its user industries regarding their production plan and input-output coefficients. The
principle advantage of this method is that it provides use-wise demand forecast. If the
number of end users of a product is limited it will de convenient to use this method. The
major weakness of this method is that the individual industry will have to relay on some
other method to estimate the final demand of its products for final consumption and
export.
2.7.4.2 Econometric Method
The term Econometrics means, literally, Economic measurement. Econometric
methods integrate statistics, mathematics and economic theory in order to measure
relationship among economic variables. Econometric models provide insights into the
relationship between the variables. These insights can be very useful to the managers in
evaluating the probable effect of alternative decisions. For example, an econometric
study that estimate the impact of advertising on the demand could be used to advertising
strategies. The important steps involved in the formulation of econometric models are: 1.
Development of a theoretical model, 2 Data collection, 3 Choice of functional form, and
4 Estimation and interpretation of results. Econometric method could be further classified
into:
40
i) Regression method
ii) Trend method
iii) Leading indicator method
i). Regression Method: Regression is a statistical devise with the help of which it is
possible to estimate the unknown value of one variable from the known value of another
variable. The variables which is/are used to predict the value of other variable is/are
called independent/explanatory variable/variables. The variable we tried to predict is
called dependent variable. Estimated regression equation reveals the cause and effect
relationship between the dependent and independent variables. It shows the extent to
which the value of dependent variable changes with the change in the value/s of
independent variable/s. In economic theory it is well-established fact that the quantity
demand of a commodity depends on various factors. In simple algebraic form it could be
shown as:
Dx = f (Px, I, Ps, Pc, A, U) 2.3
Where
Dx = Demand for X
Px = Price of X
I = Income of the consumer
Ps =Price of the substitute goods
Pc =Price of the complimentary goods
A =Advertisement or sales promotional activities
U =Error term/influence of other unexplainable/uncontrollable variables
Equation 2.3 reveals that the quantity demand of commodity depends on its own price,
income level of the consumers, price of its substitutes, price of complements, expenditure
on advertising X commodity, and uncontrollable or unexplainable variables. In this
equation U indicates the random error or the influence of other unexplainable or
uncontrollable variables. It is a general form of demand function because the independent
variables included in the model (RHS) are considered to be influencing the quantity
demand of commodity X but it does not reveal in what direction and to what extent they
41
are influencing. The above general form of function could be presented in any of the
following specific form of functions.
Dx = a - b1Px + b2I + b3Ps - b4Pc +b5A + U 2.4
Or
Dx = a - Px b1 + I b2+ Ps b3
- Pc b4 +A b5 + U 2.5
The equation number 2.4 and 2.5 are the linear and power function forms respectively for
the variables given in the equation number 2.3. They are nothing but different functional
forms of regression equations. In 2.4 and 2.5 equations Dx, Px, I, Ps, Pc, A and U refer to
the same meaning as in the equation 2.3. In the equation 2.4 b i’s are the coefficients of
the respective variables and ‘a’ is the value of intercept.
The estimated coefficient values show the extent to which quantity demand
changes with the change in the values of the respective variables by one unit. In this
equation some coefficients are having the + sign while others having the – sign. The
coefficient of the variables which are having the + sign are influencing the quantity
demand positively while the coefficient of the variables which are having the - sign are
influencing the quantity demand negatively. In the equation 2.5 all the symbols and
letters are used to indicate the same thing as in the equation 2.4. But the only difference is
that the estimated coefficient values show the extent to which quantity demand changes
with the change in the values of the respective variables by one percent.
In the regression equations estimated coefficients are of vital importance. They
show the extent of responsiveness of quantity demand to the change in the value of the
variables. In order to understand the regression method of demand forecasting let us take
the following numerical example. Table 2.3 provides the data on electric power
consumption (in billion K W)(Y) and GNP (in million Rupees)(X) for the period 1995 to
2004.
42
Table 2.3. Electric Power Consumption and GNP Year Electric consumption (Y)
(In Billion K W)G N P (X)
(In Million Rs.)1995 407 9441996 447 9921997 479 10771998 511 11851999 554 13262000 555 14342001 586 15942002 613 17182003 652 19182004 679 2163
Regression equation could be estimated for this example in order to understand
the extent to which the GNP influences the electricity consumption. With the help of the
estimated regression equation we could forecast the demand for the electricity for any
future date given the value of independent variable for any future date. For this numerical
example regression equation of Y on X of the following form could be estimated.
Y = a + bX + u 2.6
In order to estimate the values of constants i.e. a and b following normal equations are to be solved.
åY = Na + b åX 2.7 å XY = a åX + b åX2 Sum of variables, their products and squares given in table 2.4 are substituted for these
normal equations.
5483 = 10 a + 14351b …1
8185955 = 14351a +22103639 b …2
Equation 1 X 1435.1 – Equation 2
7868653.3 = 14351a + 20595120.1b8185955 = 14351a + 22103639b
(-) (-) (-) -317301.7 = -1508518.9b
-317301.7b = =0.210
-1508518.9
43
Substituting the value of b to equation 1
5483 = 10 a + 14351 (0.210)
5483 = 10 a + 3013.71
5483 - 3013.71 = 10a
10a = 2469.29
a = 2469.29/10 = 246.929
Table 2.4 Sum Variables, their Products and Squares.
Year Y X XY X2
1995 407 944 384208.0 891136.01996 447 992 443424.0 984064.01997 479 1077 515883.0 1159929.01998 511 1185 605535.0 1404225.01999 554 1326 734604.0 1758276.02000 555 1434 795870.0 2056356.02001 586 1594 934084.0 2540836.02002 613 1718 1053134.0 2951524.02003 652 1918 1250536.0 3678724.02004 679 2163 1468677.0 4678569.0
Sum 5483 14351 8185955.0 22103639.0
Y = 246.93 + 0.21X is the estimated regression equation. In this equation 246.93
is the value of the intercept. 0.210 is the regression coefficient of X (GNP) variable. It
shows that with the increase in the GNP by one million (i.e the unit taken in the
independent variable) the consumption or demand for electricity increases by the
0.210 billion K W. For this example the same results could be obtained by the most
widely used soft ware Microsoft Excel. The summary output of the Microsoft excel is
given in the table 2.5. Intercept and coefficient values are almost as same as we obtained
in the above calculation. Besides these values Microsoft excel generate the estimated
value of the R2, F value and also t value for each coefficients. The estimated R2 (0.9452)
reveals that the independent variable (GNP) explains the 94.52 per cent variation in the
dependent variable. F values are used to draw inference about the overall significance of
44
Y = 246.93 + 0.210X
the estimated regression equation. t values are used to know the significance of the
estimated coefficients.
Table 2.5 Summary of Output Obtained by Microsoft Excel Regression Statistics
Multiple R 0.9768R Square 0.9542Adjusted R Square 0.9485Standard Error 20.0028Observations 10ANOVA
Df SS MS F
Regression 1 66741.20 66741
.200 166.806Residual 8 3200.89 400.112Total 9 69942.10
Coefficient
sStandard Error t Stat P-value
Intercept 246.441 24.213 10.178 7.44E-06Coefficient of GNP (X) 0.210 0.016 12.915 1.22E-06
For same numerical example regression equation of Y on X of the following form could
be estimated.
Y = a Xb 2.8
Equation number 2.6 is linear regression equation whereas this one is power function. In
order to estimate the values of constants i.e. a and b it has to be converted into log linear
form of the following type
lnY = lna + blnX + u
The normal equations to estimate the constants (i.e. a and b) are as follows:
ålnY = Nlna + b ålnX 2.9
å lnXlnY = lna ålnX + b å(lnX)2
Sum of variables, their products and squares given in table 2.6 are substituted for these
normal equations.
45
62.9479 = 10.0000ln a + 72.3286 b …1
455.7061 =72.3286ln a +523.8631 b …2
Equation 1 X 7.23286 – Equation 2 we get
455.2933 = 72.3286ln a + 523.1426 b
455.7061 = 72.3286ln a + 523.8631 b (-) (-) (-)
-0.4128 = -0.7205b
-0.4128b = = 0.5729
-0.7205
Substituting the value of b to equation 1
62.9479 = 10 ln a + 72.3286 (0.5729)
62.9479 = 10 ln a + 41.43705
62.9479 – 41.43705 = 10 ln a
10 ln a = 21.51085
lna = 21.51085/10 = 2.151085
Table 2.6 Sum of Variables, their Products and Squares.
Year Y X lnY lnX lnXlnY (lnX)2
1995 407 944 6.0088 6.8501 41.1611 46.92421996 447 992 6.1026 6.8997 42.1060 47.60621997 479 1077 6.1717 6.9819 43.0904 48.74741998 511 1185 6.2364 7.0775 44.1379 50.09101999 554 1326 6.3172 7.1899 45.4199 51.69502000 555 1434 6.3190 7.2682 45.9277 52.82712001 586 1594 6.3733 7.3740 46.9969 54.37592002 613 1718 6.4184 7.4489 47.8099 55.48642003 652 1918 6.4800 7.5590 48.9829 57.13912004 679 2163 6.5206 7.6793 50.0735 58.9709
Sum 5483 14351 62.9479 72.3286 455.7061 523.8631
46
Y = 2.151 * X0.573 Or lnY = ln2.151 + 0.573 ln X
In this equation ln2.151 is the value of the intercept. 0.573 is the regression
coefficient of X (GNP) variable. It shows that with the increase in the GNP by one
percent the consumption or demand for electricity increases by the 0.573 per cent.
For this example the same results could be obtained by the most widely used soft wear
Microsoft Excel. The summary output of the Microsoft excel is given in the table 2.7.
Table 2.7:SUMMARY OUTPUT OBTAINED BY MICROSOFT EXCELRegression Statistics
Multiple R 0.9816R Square 0.9635Adjusted R Square 0.9590Standard Error 0.0334Observations 10ANOVA
df SS MS FRegression 1 0.2362 0.2362 211.3931Residual 8 0.0089 0.0011Total 9 0.2451
Coefficients Standard Error t Stat P-valueIntercept (lna) 2.1518 0.2851 7.5465 0.0000663Coefficient of GNP (b) 0.5728 0.0394 14.5394 0.0000005
In the above example we consider only one independent variable model. In
practice, quantity demand of any commodity will not be influenced by only one variable.
It may be influenced by several variables. In the regression model we could use two or
more than two independent variables. If we use two or more independent variables in the
regression models such regression model is termed as multiple regression model. In case
of the multiple regression manual estimation of the coefficients is tedious job. Nowadays
various computer softwares are available to estimate the coefficients in case of multiple
regression models. The above example has been extended to two independent variable
model by incorporating one more independent variable i.e. price of the electricity. Table
2.8 provides the data on electric power consumption (in billion K W)(Y) and GNP (in
million Rupees)(X1) and price of the electricity (in Rs. Per unit) (X2) for the period 1995
to 2004. For this numerical illustration income elasticity and price elasticity of demand
for electricity could be estimated through the following form of equation.
47
Y = a X1 b1 X2 b2
2.10
In this equation a represent the intercept value, b1 and b2 shows the regression coefficients
of income and price on electric consumption, which are same as income and price
elasticity of demand for electricity. The value of these constants has been estimated by
using the Microsoft excel. The summary of output is given in table 2.9.
Table 2.8: Consumption, GNP and Price of Electric Power.Year Electric
consumption (Y)(In billion K W)
G N P (X1)(In Million Rs.)
Price of Electricity (X2)
(Rs./Unit)
1995 407 944 2.09
1996 447 992 2.10
1997 479 1077 2.19
1998 511 1185 2.29
1999 554 1326 2.38
2000 555 1434 2.83
2001 586 1594 3.21
2002 613 1718 3.45
2003 652 1918 3.78
2004 679 2163 4.03
Table 2.9: SUMMARY OUTPUT OBTAINED BY MICROSOFT EXCELRegression Statistics
Multiple R 0.9924R Square 0.9849Adjusted R Square 0.9806Standard Error 0.0230Observations 10ANOVA
Df SS MS FRegression 2 0.2414 0.1207 228.6488Residual 7 0.0037 0.0005Total 9 0.2451
Coefficients Standard Error t Stat P-valueIntercept -0.496 0.8628 -0.5748 0.5834Coefficient of G N P (X1) 1.008 0.1408 7.1603 0.0002Coefficient of Price of Electricity (X2) -0.495 0.1572 -3.1512 0.0161
Y = -0.496 X1 1.008 X2 –0.495
48
In the summery of the regression output the income elasticity of demand for
electricity was worked out to be 1.008, which means for every one per cent increase in
GNP there will be 1.008 per cent increase in the demand for electric power. Similarly
price elasticity of demand for electricity was worked out to be -0.495 which means for
every one percent increase in the price of electric power there will be fall in the electric
power consumption or demand by 0.495 per cent.
The principle advantage of this method is that the variation in demand is
explained through the variation in its casual variables. Demand has varied by a certain
amount or percentage because its determining variables have varied by certain amount or
percentage. This is indicated by the regression equation itself. Any social scientist
possessing sufficient knowledge of economic theory and econometric methods can use
this method for forecasting purpose. The major limitation of this method is that it requires
the use of some other forecasting method to estimate the value of the explanatory
variables in the prediction period. The extent of reliability of the results depends on the
extent of the reliability of the estimated future values of explanatory variables.
ii. Leading Indicator Method: The previous section dealt with the relationship between
the two or more coincident series, which enables us to forecast the demand. Coincident
variables are those the values of which vary along with some other variables. For
example if X and Y are close substitutes, increase in the price of X leads to increase in
the demand for Y on the day itself. There are some variables the values of which move up
or down ahead of some other variable and such variables are called leading variables or
series. Agricultural income (harvest) in the year influences the demand for agricultural
inputs in the subsequent year. Here agricultural income is a leading indicator because it
indicates the fact that there will be more demand for agricultural input in the subsequent
year. Demand for agricultural input, in this example, is lagging variable because its value
moves up or down behind the value of agricultural income. This relationship could be
expressed in the following way:
Yt = a + bXt-1 2.11Where,Yt = Quantity demand of forecasting variable in time t
49
Xt-1 = Value of explanatory variable in time t-1
a & b represent the intercept and coefficient of independent variables
respectively
The value of intercept and coefficient value could be estimated by using the
method discussed in the previous section. But only difference is that the value of
explanatory variable pertains to time period t-1. If the calculated value of ‘b’ is 0.75 it
implies that every one-unit increase in the value of independent variable in this year leads
to increase in the quantity demand by 0.75 unit. The main advantage of this method is
that present period value of explanatory variable could be used to predict the demand for
(lagging variable) commodity in the next period, may be next month or year or decade.
The major limitation of this method is that it is not possible to find leading indicator for
variable under forecast.
iii. Trend Method: Time series analysis or the trend method is one of the most frequently
used methods of demand forecasting. Time series data refers to the values of a variable
arranged chronologically by days, weeks, months or years. Time series analysis attempts
to forecast future values of time series by examining the past observation of the data only.
This method is mainly based on the assumption that the time series will continue to move
as in the past. For this reason this method is also called naïve forecasting. Time series
data can be presented either in the tabular form or graphical form. The following table,
for example, shows the sales of the television sets of X company (in thousand units).
Table2.10 Sales of T V sets Pertains to X CompanyYear 1998 1999 2000 2001 2002 2003 2004
Sales of T. V. (in thousand) 80 90 92 83 94 99 92
The data shown in the table 2.10 presented through the graph 2.9. It is evident from the
graph that the sale of the T V sets of the above firm has been fluctuating over the years.
In spite of such fluctuation there is a general increasing trend . Time series fluctuation
can be explained through the different components.
Components of time series
50
Seasonal Variation: Changes that have taken place during a period of one
year as a result of changes in season i.e. change in the climate, weather
condition, festival etc.
Cyclical Variation: It refers to recurrent up and down movements of
business activities around some sort of statistical trend level or normal
business conditions.
Irregular variation: Changes that have taken place as a result of such
forces that could not be predicted like floods, earthquake etc. they are also
called erratic variations
Secular trend: Changes that have occurred as a result of general tendency
of data to increase or decrease is known as secular trend.
Changes that have taken place during a period of one year as a result of changes in season
i.e. change in the climate, weather condition, festival etc.
The most important aspect of time series analysis is the projection of trend of the
time series. A trend line can be fitted through series either visually i.e. freehand method
51
based on the personal judgment or by means of statistical technique. The most popular
statistical method that is used in the time series analysis is least square method. The
straight line could be represented by the following equation
Yt = a + bt 2.12
Here, Yt and t are the variables represent the value of the time series to be forecasted
for period t, and the time period respectively. , a is the intercept and b is the coefficient of
the trend equation which shows the absolute amount of growth per period. Trend
equation could be estimated as follows for the example given in the table 2.10.
The trend equation of the form 2.12 could be estimated to the example given in
the table 2.10 by solving the following normal equation.
åYt = Na + b åt 2.13
å tYt = a åt + b åt2
For fitting the straight-line trend by the least square method we must specify the year,
which is taken as the origin. We can measure t by taking either first year or the mid point
in the time period as the origin. Here the trend equation has been estimated by taking the
first year as the origin.
Table 2.11 Sum of Variables, their Products and Squares
Year Yt (000s) T (Year – 1998) t Yt t2
1998 80 0 0 01999 90 1 90 12000 92 2 184 42001 83 3 249 92002 94 4 376 162003 99 5 495 252004 92 6 552 36Sum 630 21 1946 91
Substitute the values to the normal equation 2.13 630 = 7a +21b …11946 = 21a + 91b …2
Equation 1 ( -3) – Equation 2
-1890 = -21a - 63b 1946 = 21a + 91b
52
56 = 28b
56b = = 2
28
Substituting the value of b to equation 1
630 = 7 a + 21 (b) 630 = 7 a + 21 (2) 630 = 7 a + 42 630 - 42 = 7 a588 = 7 a
a = 588/7 = 84
The trend equation reveals that for every one year there will be increase in the sales of T
V sets of the X Company by 2000 units. Using this coefficient demand could be
forecasted for any future period.
It is a very popular method of demand forecasting not only because of its
simplicity but also because it yields good results. Further, most of the time series data
follow a particular trend in the long run. Besides it is relatively easy to forecast the
demand through this method, as it does not require the knowledge of economic theory
and the market. It needs only time series data on the variable whose future value is to be
forecasted. This method is based on the assumption that the past rate of change of the
variable under consideration will continue in the future also which is a major limitation of
this method. Its assumption that the trend equation obtained by the best fit on the past
data holds good in the prediction period is not always appropriate. In the long run, it may
be good assumption but surely short run fluctuations in most time series do not warrant
this method. Therefore, this method quite often found appropriate for the long run
prediction not for the short run.
2.7.5 Demand Forecasting for New Products
53
Y = 84 + 2(t)
As we have discussed in the previous section, there are many different demand-
forecasting methods. We can make use of any of these methods while forecasting the
demand for existing product. Demand forecasting is very difficult for new products
because forecaster could not get previous data. No previous experience on the sales of
such product etc. In this regard Joel Dean has suggested some of possible approaches to
forecast demand for new products.
Project the demand for new product as an out growth of an existing old
product. It means when a product is evolved from the old one, the demand
condition of the old product should be taken into account while assessing
demand for a new product (evolutionary approach).
Analyze the new product as a substitute for same existing product. How
for a new product serves the purpose as substitute to an existing product?
If new product is close substitute for existing product. Demand for new
product can be forecasted based on the previous experience of sales trends
of already existing substitute products (substitute and growth)
Estimate the demand by making direct enquiry from the ultimate
purchasers, either by the use of samples or on a full scale i.e. Consumers
survey method.
Offer the new product for sale in a sample market. Total demand is
predicted on the basis of sale in the sample market i.e. Sales experience
approach.
Survey of consumer’s reaction to a new predict indirectly through the eyes
of specialized dealers who are supposed to be aware of consumers’ need
and alternative opportunity i.e. opinion survey method.
2.7.6 Criteria of a Good Forecasting Method
54
Different methods of demand forecasting shows considerable difference with
respect to procedure of forecasting, cost, level of accuracy, etc. Therefore, it is difficult to
choose a best method for a particular situation. There are certain criteria which could be
used to judge the suitable or not of a particular method of Demand Forecasting. Such
criteria are:
Accuracy: The accuracy of the forecast is measured by the degree of
deviation between forecasted and actual values of a parameter. Lesser the
deviation between these two accurate is the demand forecast vice-versa. It
is necessary to check the accuracy of past forecast against present
performance and of present forecast against future performance.
Simplicity: It should be simple to understand. Management must be able to
understand and have confidence in the techniques used. Clear
understanding is necessary for proper interpretation of the results.
Economy: Cost must be compared with the importance of the forecast to
the operation of the business. Cost must be less than the importance of the
forecast to the firm. It is not desirable to have a forecast in which cost is
greater than the importance of forecast to the firm.
Availability: The techniques employed should be able to produce
meaningful results quickly. Techniques, which take long time to work out,
may produce useful information. But it may be too late for management
decisions hence it is of useless information.
Flexibility: The techniques used for forecasting must be able to
accommodate and absorb frequent changes accruing in the economy.
The method of demand forecasting which poses the above qualities will have greater
usefulness. It is difficult to point out the method, which poses all the qualities. However,
demand forecasting functionaries prefer such method of demand forecasting which poses
more number of these qualities.
55
2.8. Self Review Questions
1. Define the concept of demand.
2. Distinguish individual demand and market demand
3. Distinguish extension and contraction of demand
4. What is derived demand? Give an example
5. What is demand function?
6. What is price elasticity of demand?
7. Define cross elasticity of demand.
8. What is demand forecasting?
9. Explain the law of demand
10. Discuss the different types of Demand
11. Describe the determinants of demand
12. Explain the factors influencing price elasticity of demand.
13. Critically examine the usefulness of Demand forecasting
14. Discuss the different methods of demand forecasting
15. Explain how do you forecast the demand for new products
16. Describe the criteria of a good forecasting method
17 Following table gives the data on the sales level of X commodity at different price
level. Given these data estimate the price elasticity of demand for X commodity,
assuming other things remaining same.
Price of X
Commodity
Quantity of X Commodity
Sold in the Market
10.0 20
10.5 22
11.0 25
12.0 28
13.0 31
2.9. References/ Suggested Readings
56
1. Varshney RL, and Maheshwari K.L: “Managerial Economics”, Sultan Chand & Sons,
New Delhi-110002
2. Mote, V. L., Samuel Paul, Gupta,G. S: “ Managerial Economics: Concepts and Cases”,
Tata McGraw-Hill Publishing Company Limited, New Delhi
3. D.M.Mithani : “Managerial Economics: Theory and Applications”, Himalaya
Publishing House, Mumbai-400 004
4. Dominick Salvatore: “Managerial Economics”, McGraw-Hill International Editions,
Singapore
5 Ahuja, H. L.: “Advanced Economic Theory”, S.Chand & Company Ltd. New Delhi-
110 055
6. Jhingan, M.L.: “Advanced Economic Theory”, Vrinda Publications (P) LTD,Delhi-110
091
MODULE III: PRODUCTION AND COST ANALYSIS
57
Profit maximization is one of the main objectives of all types of business firms.
Profit = Total Revenue-Total Cost. In order to maximize the profit, firm tries to increase
its revenue and lower its costs. Towards this end, they try to produce optimum level of
output and also to use the least cost combination of inputs. These aspects are studied in
production (theories) analysis.
Demand and supply are two sides of the market, which determines the price of the
commodities. In the last chapter we have discussed about the demand side of the market.
Production and cost analysis (this Chapter) concerned with supply side of the market.
Production analysis is done in physical terms while cost analysis is discussed in monetary
terms. Production analysis relates physical output to physical inputs in the production
and studies the least cost combination of factor inputs, factor productivity and returns to
scale. Cost analysis deals with various types of costs and their role in decision-making,
determinants of costs etc.
3.1 Production Function:
A production function expresses the technological (or engineering) relationship
between the output of a commodity and its inputs. In other words it can be defined as, a
technical, mathematical relationship that tells the maximum amount of output that can be
produced with a given set of inputs, given the current state of technical knowledge
symbolically it can be denoted as follows.
Y=f (X1, X2, X3)
Where,
Y = Quantity of output of a commodity.
X1 = Land used in the production of commodity
X2 = Labour used in the production of commodity
X3 = Capital used in the production of commodity
It is the general form of production function. Quantity of output of a commodity
produced depends on the quantity use of land, labour and capital. But it does not tell the
manner and extent to which output changes due to change in input use level. To know the
direction and extent to which output changes due to change in input use level we must
58
estimate the specific form of production function i.e. specific statistical production
function.
3.1.1 Statistical Production Function
Statistical production function can be estimated by statistical techniques or
econometric methods using either cross sectional data or time series data on inputs and
output. There are many different forms of production function. Cob Douglas production
function is most widely applicable form of production function.
Where,
Y = Quantity of output produced
L = Quantity of labour employed
C = Quantity of capital employed
K, α, and β = are constants
Cob-Douglas are pioneers in estimating a production function of this form for American
manufacturing industry using annual time series data for the period 1899 – 1922. Their
estimated statistical production function was;
Y = 1.01 L0.75 C0.25
In the logarithmic form it can be written as:
log Y= log 1.01 + 0.75 log L + 0.25 log C
In this production function 0.75 is production elasticity of labour. It shows every
1 per cent increase in labour leads to 0.75% increase in production. Similarly 0.25 is
production elasticity of capital. In this production function sum of production elasticities
is (0.75 + 0.25=1). It means, 1 per cent simultaneous increase in both inputs leads to 1per
cent increase in production. It shows that Cob – Douglas production function assumes
constant returns to scale. With this type of production function total output can be
estimated for any given value of L and C. For example, if unit of labour input used is
1000 units and units of capital input used is 2000 units then, output production will be:
log Y = 1.01 + 0.75 log1000 + 0.25 log 2000
= 1.01 + 2.25 + 0.8253
log Y = 4.0853
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Y=KLα C β
Y = Antilog 4.0853
Y = 12170
If input use level increased by 10% i.e labour input increased from 1000 units to 1100
units and capital input increased form 2000 units 2200 units then the resulting output
change is as follows.
log Y =1.01 + 0.75 log 1100 + 0.25 log 2200
=1.01 + 2.28104 + 0.83561
log Y = 4.12665
Y = Antilog 4.12665
Y = 13386
Due to increase in input use level by 10 per cent output has increased from 12170 to
13385 i.e approximately by 10 per cent increase in output. It shows that Cab Douglas
production function assumes constant returns to scale.
So production function is technological relationship describing the manner and
extent to which a particular product responds to change in quantity of input, at the given
level of technology. While estimating the effect of input use on the production level we
assume that technology remains constant. But in practice technological changes also
influences the production growth, for example improvement in seeds technology brought
about considerable growth in crop yield. Statistical production function clearly revealed
the fact that the production function is the technological relationship explaining the
maximum amount of output capable of being produced by each and every set of specified
inputs, in the given state of technical knowledge.
Producers have to face various production decision problems. Production function
is useful in such production decision-making process.
Producer has to decide what is the most profitable amount of resource to use
in the production of a commodity. Because with the change in the input use
level factor productivity goes on changing. This will be discussed in the factor
product- relationship or laws of production.
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Various combinations of two or more inputs can produce a particular output
level of a product. Hence, producer has to decide the least cost combination of
inputs to produce a specific amount of a given commodity. This we shall
discuss in the “least cost combinations of inputs”.
Having certain amount of resources a producer can produce various
combinations of output of different commodities. So he has to choose the
most profitable product mix to produce in order to maximize his profit.
The next section deals with the input-output relation (i.e. laws of production).
Production analysis (or theory of production) considers two types relationships viz.
Short-run relationships and long-run relationships. Short-run is long enough to alter the
variable but not the fixed resources for production. In this time period certain inputs are
fixed and others are variable. It is called laws of returns. Long run is long enough to
alter both the variable and the fixed resources for production; but cannot alter the
technology. In this time period all inputs are variable there will be no fixed inputs. It is
called laws of returns to scale.
3.2 Law of Returns
It is the input-output relationship when one factor of production (input) is variable
while others are kept constant. If we go on increase the use of variable input while
keeping the other factors of production constant, the proportion between variable input
and fixed input goes on changing and also the variable factor productivity goes on
changing. Therefore, It is also called the law of variable proportion. Since it deals with
input-output relationship in the short run it is also known as factor-product relationship in
the short run. This theory states that in the beginning variable factor productivity goes on
increasing after a certain point of variable input use level its productivity starts
diminishing. Production and productivity of an input can be expressed through the
following measures.
Total Physical Productivity (TPP): TPP of a factor is the total production a
producer can obtain by employing different amount of that factor, keeping all
other factors constant.
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Average Physical Productivity (APP): APP of a factor is the total physical
product divided by the quantity of that factor, with all other factors held
constant
Marginal Physical Productivity (MPP): MPP of a factor is the extra physical
product producer obtains by adding an extra unit of that factor, with all other
factors constant. In other words it is an addition made to total physical
productivity by using an additional unit of input.
The input output relation showing total, average, and marginal productivity, when one
input is variable, say for example labour, while others are constant can be dividend into
three stages in such a way that one can locate the rational stage of production in order to
ensure the resource use efficiency (Figure 3.1). In figure 3.1 TPL, APL and MPL shows
the Total, average and marginal physical product of variable input i.e. labour.
First Stage: (O to L1)
The first stage extends from the point of origin to point of maximum average
product. At this point APL =MPL. (APL =MPL when APL maximum)
MPL maximum at point ‘M’. The corresponding point on TPL is called point of
inflection. Inflection point indicates the change in rate of increase in TPL. Up
to this point TPL increase at increasing rate beyond this point at decreasing
rate.
Elasticity of production is more than unity in the I stage production (Ep>1).
APL increases throughout this stage, indicating the increasing efficiency of
variable inputs on the productivity with the increasing use of the variable
input.
Second Stage: (L1 to L3)
This stage ranges from the point of maximum average product to the point of
maximum TPL or the point of zero MPL.
In this stage TPL increases at decreasing rate
In the beginning of this stage i.e. when APP=MPL, EP =1, at the end of this
stage i.e. when TPL is maximum or MPL is zero EP = 0, between these two
points Ep will be less than one but greater than zero.
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Figure 3.1: Total, Average and Marginal Product of Variable Input (Labour)
Third Stage:(Beyond L3)
This stage extends from the point of zero MPL to over the entire range of
declining TPL.
MPL crosses zero point and become negative.
Ep is less than zero.
I and II stage are considered as irrational stage of production, In I stage, the
average productivity of variable input increasing continuously indicating the increase in
its efficiency with the use of additional unit of this input. It is not reasonable to stop using
an additional unit of an input when its efficiency on all units used is increasing. Hence if
a producer is interested in maximizing his profit it is advisable to use the variable input at
least to the point of highest APL. In the III stage of production function, the total product
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(TPL) is declining and MPL is negative. Hence, it is not profitable zone. Producers
operating in this zone will incur double losses. One is declining production and another is
unnecessary additional cost of inputs. Therefore, producer should prefer to produce in the
second stage of production where the O<Ep<1.The optimum level of input use within this
stage can be located with the help of factor product price.
The law of variable proportion is also called laws of returns because in these
different stages of production we have seen different returns level for the different level
variable input use. In the above figure we could find increasing returns, diminishing
returns and also negative returns. No rational would prefer to operate in the stage of
negative returns. In between increasing and diminishing returns we could also found
constant returns. Though it is not visible in the curve, the concept of constant returns is
very popular in practice. Three important laws of returns are elaborated in the following
section.
Increasing returns
Decreasing returns
Constant returns
I. Increasing Returns: If each additional unit of variable input adds more and more to the
total production than their previous unit of input, then it may be called as law of
increasing returns. In other words the law of increasing returns said to exist if MP goes
on increasing with the increase in the variable input use level.
rY1 /rX1 < rY2 /rX2 < rY3 /rX3< …………rYn /rXn
MP of second unit of input is greater than the MP of first unit of input and similarly MP
of 3rd unit of input is more than the marginal productivity of 2nd unit of input and so on.
Marginal productivity goes on increasing with use of additional unit of input under this
law.
ii Decreasing Returns: If each additional unit of variable input adds less and less to the
total production than their previous unit of input then it may be called as law of
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decreasing returns. In other words if marginal productivity goes on decreasing with the
increase in the variable input use level for that we called as low of decreasing returns.
rY1 /rX1 > rY2 /rX2 >rY3 /rX3> …………rYn /rXn
Marginal productivity of second unit of input is less than the marginal productivity of
first unit of input and similarly marginal productivity of third unit of input is less than the
marginal productivity of second unit of input and so on marginal productivity goes in
diminishing.
iii. Constant Returns: If the amount of output increases by the same magnitude for each
additional unit of input then it may be called as law of constant returns. Here MP remains
same at all levels of variable input use.
rY1 /rX1 = rY2 /rX2 =rY3 /rX3 = …………rYn /rXn
Marginal productivity of second unit of input is equal to the marginal productivity of first
unit of input and similarly marginal productivity of third unit of input is equal to the
marginal productivity of second unit of input and so on marginal productivity remains
constant for different level of variable input use level.
3.3 Laws of Returns to Scale
It refers to the behavior of output in response to the change in the scale of
production. Change in the scale of production means that all inputs or factors changed
simultaneously in the same proportion. In other words an increase in the scale of
production means that all inputs or factors are increased in the same proportion. The
study of change in output as a consequence of change in the scale forms the subject
matter of returns to scale. The concept of returns to scale is as old as economics itself.
However, they were not carefully defined till the time of Alfred Marshall. He used the
concept of returns to scale to capture the idea that firms may alternatively face
"economies of scale" (i.e. advantages to size) or "diseconomies of scale" (i.e.
disadvantages to size).
Laws of Returns v/s Laws of Returns to Scale
Laws of Returns Laws of Returns to Scale
Change in output in response to Change in the output in response to
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change in the variable inputs
Law of returns is a short run
phenomenon
In the short run they could not vary
all factors of production. They
could vary only variable factors of
production in order to vary their
output level.
change in the scale of production.
Law of returns to scale is a long-run
phenomenon
In the long run all factors of
production are variable. Even the
plant size can be varied in order to
vary the output level.
Returns to scale are technical properties of the production function, y = f (x1,
x2, ..., xn). If we increase the quantity of all factors employed by the same (proportional)
amount, output will increase. The question of interest is whether the resulting output will
increase by the same proportion, more than proportionally, or less than proportionally. In
other words, when we double all inputs, does output double, more than double or less
than double? These three basic outcomes can be identified respectively as increasing
returns to scale, constant returns to scale and decreasing returns to scale.
Increasing Returns to Scale: It is a situation where doubling of inputs leads to
more than doubling of output. i.e. if the increase in all factors without altering
the proportion between them leads to a more than proportionate increase in
output, returns to scale is said to be increasing. For example if all inputs are
increased by 25% and output increases by 30% then we consider this as
increasing returns.
Constant Returns to Scale: It is a situation where doubling of inputs leads to
exactly doubling of output. i.e. if the producer increases all factors in a given
proportion and the output increase in the same proportion, returns to scale is
said to be constant. For instance, if all inputs are increased by 25% and
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resulting output also increases by 25% then we can say that there is a constant
return to scale.
Decreasing Returns to Scale: It is situation in which doubling of inputs leads
to less than doubling of output. I.e. If the increase in all factors without
altering the proportion between them leads to a less than proportion increase
in output, returns to scale is said to be decreasing returns to scale. For
instance, if all inputs are increased by 25% and resulting output increases by
20% then we can say that there is a decreasing return to scale.
Although any particular production function can exhibit increasing, constant or
diminishing returns to scale throughout, it used to be a common proposition that a single
production function would have different returns to scale at different levels of output.
Specifically, it was natural to assume that when a firm is producing at a very small scale,
it often faces increasing returns because by increasing its size, it can make more efficient
use of resources by division of labor and specialization of skills. However, if a firm is
already producing at a very large scale, it will face decreasing returns because it is
already quite unwieldy for the entrepreneur to manage properly, thus any increase in size
will probably make his job even more complicated. The movement from increasing
returns to scale to decreasing returns to scale as output increases is referred to as the
ultra-passum law of production.
3.4 Least Cost Combination of Inputs:
There may be large number of resource combinations which will produces same
level of output. But cost of producing that particular level of output by different
combinations may not same. Producer has to incur different level of cost for different
combinations. In this topic we shall try to understand how to ascertain least cost
combination of inputs in producing a particular level of output. And also we shall try to
understand concepts related to least cost combinations.
The analysis of the multi-factor case requires mathematical tools, which is beyond
the scope of this course. For simplicity, we will assume that a firm produces output using
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two types of inputs: labor and capital. For now, we can think of labor as representing all
of the inputs that are variable in the short run and capital as representing all of the inputs
that are fixed in the short-run. Under this assumption, we can define as firm's short-run
production function as:
Q=f(L,K)
Where: Q = quantity of output produced
L = amount of labor input
K = amount of capital input
The production function, f, is a mathematical function that provides the maximum
quantity of output that can be produced for each possible combination of inputs used by
the firm. A convenient way of representing this production function is through the use of
a graph containing isoquant curves.
3.4.1:Isoquants:
An isoquant curve is a graph of all of the combinations of inputs that
result in the production of a given level of output Figure 3.1 shows a hypothetical
isoquant. In this diagram labour measured in horizontal axis and capital measured in
vertical axis. This isoquant suggests that the firm could produce 50 units of output per
day using either 20 units of labor and 5 units of capital at point C or 3 units of labor and
15 units of capital at point A. In fact, any combination of labor and capital along this
curve allows the firm to produce 50 units of output per day (for example point B). Note
that this curve is downward sloping because the firm can replace workers with machines
or replace machines with workers and still manage to produce the same level of output.
Figure 3.1: Isoquant Curve
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In this diagram, the firm can produce 50 units of output using any of the input
combinations given by points: A, B, or C. What happens if we compare points B and D?
At point D, the firm is using more labor and more capital than it is using at point B. If it
uses more of each input it could produce more total output. Thus, we know that this firm
can produce more output at point D than at point B. Since the firm produces 50 units of
output at points A, B, and C, the output level corresponding to point B is higher than at
any of the points on the isoquant. More generally, we can state that any point that lies
above and to the right of an isoquant curve corresponds to a higher level of output. Using
similar logic, the level of output will be lower if the firm selects a combination of inputs
that lies below and to the left of an isoquant.
The slope or the nature of isoquant depends on the Marginal Rate of Technical
Substitution (MRTS) or simply MRS. MRS shows the rate at which two resources can be
substituted i.e. how much the use of one resource can be given up in order to use an
additional unit of other input, in such a way as to maintain the same level of output.
r in the use of replaced resource rX1 MRSx1x2 = =
r in the use of added resource rX2
MRS of one input for the other in other words slope of an isoquant would depend on the
extent of substitutability of the two inputs. On the basis of the extent of the
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substitutability we can categories input-input relation into three main categories. Viz.
perfect non-substitutable, perfect substitutable and limited substitutable (substitutes but
not perfect substitutes).
Perfect Non-Substitutable: If inputs are perfectly non-substitute then such two
inputs are to be used in fixed proportion. Certain products can be produced only if
inputs are used in fixed proportion at all levels of production. Inputs are perfectly
non-substitute under such input-input relation. If input-input relation is such then
isoquant will be of rectangular type.
Perfect Substitutes: Perfectly substitutable can be replaced each other at a
constant rate in order to maintain the same level of output. If two inputs are
perfectly substitutable then isoquant in such input-input relation will be a straight
line which slopes downward from left to right.
Limited substitutable: In the production of some commodities there are some
inputs, which are substitutable but not perfect substitutable. In the production of
most of the commodities labour and capital are close but not perfect substitutable
their substitutability become more and more different as one factor is substituted
for another. When input-input relationship is such that isoquant will be convex to
the origin.
The isoquant that is convex to the origin shows the declining MRSX1X2.
Substitutability become more difficult as X1 input is substituted for X2 input. Here two
inputs are substitutable but not perfect substitutable because MRS x1 for X2 goes on
diminishing as the producer goes on substituting X1 for X2. Practically, in the production
of most of the commodities many inputs are substitutable within a certain limits. Hence,
this form of isoquants is widely applicable in the least cost combination analysis whereas
perfect substitutability and perfect non-substitutability is a very rare event. Hence,
straight-line isoquant and rectangular isoquants are not much useful in this analysis.
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The law of diminishing MRS states that the MRS declines as the level of labor
use rises along an isoquant. An equivalent way of stating this law is to state that isoquant
curves are convex. Let's consider the intuition underlying this law. This law suggests that
it takes a large amount of capital to replace a unit of labor when capital use is high but
little labor is used. As labor becomes more plentiful and capital becomes scarcer,
however, less capital is required to replace an additional unit of labor. Thus, the law of
diminishing MRS indicates that it is relatively difficult to replace additional quantities of
an input when the level of that input becomes relatively low. This seems to be
characteristic of most production processes. Consider, for example, the situation on a
farm. When a farm is highly mechanized and has only a small number of workers
operating the farm equipment, a very large amount of capital would be required to
replace a worker. If a firm, though, has many workers but few tools, the introduction of a
small amount of capital (such as a tractor) can replace a relatively large number of
workers.
3.4.2: Iso-Cost Curve:
The isoquant curve explains about the physical ways in which inputs can be
combined to produce output. Notice that it does not tell us anything about the costs
associated with alternative levels of input use. The next step towards the determination of
optimum/least cost combination of inputs is to add information on cost of those inputs.
This cost information introduced in the form of iso-cost line. Iso-cost line indicate all
possible combination of two inputs which can be purchased at a given outlay of
investment and the market price level of inputs. For example, given the per unit price of
capital(r) and labour (w), the total expenditure (C) on capital and labour is
C = rK + wL
Rewriting this equation by solving for K as a function of L
K = C/r – w/rL
This is an equation for straight line where C/r is the vertical intercept and –w/r is the rate
at which labour can be exchanged for capital in the market. For example, if w=2 and r=3,
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1 unit of capital can be traded for 1.5 unit of labour or 1 unit of labour can be traded for
2/3 unit of capital. The Iso-cost line for the given w=2, r=3 and C(outlay) =40 is;
K 40/3 – 2/3L
Or
K = 13.33 – 2/3L
If all the 40 rupees (outlay) is spent on the capital (L=0) 13.33 units of capital can be
purchased. Conversely if all the 40 rupees spent on labour (capital=0) 20 units of it could
be purchased. 13.33 units of capital and 20units of labour are the intercept on capital
and labour axis respectively, in between the two extreme values there will be large
number of combination of these two inputs. Figure 3.2 shows the iso-cost cost lines for
the outlay of rupees 30, 40 and 50 respectively.
Figure 3.2: Iso-Cost Line for Outlay of Rupees 30, 40 and 50
It is clear from the figure that as the outlay of investment on these two inputs goes on
increasing the iso-cost line shift outward but they remain parallel to each other. It is
because the input price ratios or the input prices remain constant.
3.4.3: Least Cost Combination of Inputs.
When both capital and labour are variable, determination of optimum/least cost
combination of these inputs requires that technical information from the production
function (i.e. the isoquant) be combined with the market data on the inputs price (i.e. the
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iso-cost curve). Consider the problem of minimizing the cost for a given level of out put.
Let us understand this problem with the help of figure 3.3.
Figure 3.3: Least Cost Combination of Inputs.
This figure consists of two isoquants. Specifically suppose that the firm’s
objective is to produce ten units of output at minimum cost. The infinite number of
capital and labour combinations could produce 10 units of output as shown by the
isoquant curve. Three of these combinations are indicated by a, b and c. point a and c are
on the iso-cost line representing the expenditure of rupees 150 and b is on the iso-cost
line representing the expenditure of rupees 100. Of these, clearly b is the best in the sense
of being the lowest cost. At point b 10 units isoquant is tangent to the iso-cost line
representing the outlay of rupees 100. All other input combinations shown on the 10-unit
isoquant would correspond to higher iso-cost curve and would cost more than 100 rupees.
It is important to note that the tangency between isoquant and iso-cost cure at point b
indicate that the MRSx1x2 is equal to the factor price ratio which is an important
criterion to decide the attainment of least cost.
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3.5. Economies and diseconomies of ScaleThe scale of enterprise or size of plant reflects the amount of investment made in
the relatively fixed factor of production, i.e., plant and fixed equipment. The concepts of
economies and diseconomies of scale are related to economic advantages or
disadvantages associated with the scale or size of the plant. The understanding of these
concepts enables the management to decide about the optimum scale or size of the plant.
Scale of production varies only in the long run and hence economies and diseconomies of
scale are associated with the long-run decisions.
When more units of a good or a service can be produced on a larger scale, yet
with less average input costs, economies of scale are said to be achieved. Alternatively,
this means that as a company grows and production units increase, a company will have a
better chance to decrease its costs. According to theory, economic growth may be
achieved when economies of scale are realized. Adam Smith identified the division of
labor and specialization as the two key means to achieve a larger return on production.
Through these two techniques, employees would not only be able to concentrate on a
specific task, but with time, improve the skills necessary to perform their jobs. The tasks
could then be performed better and faster. Hence, through such efficiency, time and
money could be saved while production levels increased. Just like there are economies of
scale, diseconomies of scale also exist. There are inefficiencies within the firm or
industry resulting in rising average costs as the company or production units grow
beyond a certain limit. In a nutshell economies of scale is said to be existing if average
cost falls as plant size increases and the diseconomies of scale prevail if the opposite is
the case.
Figure 3.4 depicts the economies and diseconomies of scale. In this figure
economies of scale is prevailing up to OM level of output. Up to OM level of output
average cost goes on declining and it reaches its minimum point at E and there afterwards
diseconomies of scale set into the production system hence average cost begins to
increase. Economies of scale is existing in the range of declining average cost curve and
similarly diseconomies of scale is operating in the range of increasing average cost curve.
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Figure 3.4: Economies and Diseconomies of Scale
3.5.1 Internal and External Economies of Scale
Alfred Marshall made a distinction between internal and external economies of
scale. When a company reduces costs and increases production, internal economies of
scale have been achieved. External economies of scale occur outside of a firm, within an
industry. Thus, when an industry's scope of operations expands due to, for example, the
creation of a better transportation network, resulting in a subsequent decrease in cost for a
company working within that industry, external economies of scale are said to have been
achieved. Thus internal economies and diseconomies arise due to the firm’s own
expansion. These include labour, technical, managerial, financial and marking economies
and diseconomies. External economies and diseconomies may arise due to the expansion
of the industry as a whole. With external economies of scale all firms within the industry
will benefit. From the managerial point of view, internal economies are more important
than external ones, for a while the former can be affected by managerial decisions of an
individual firm changing its size or scale, the latter are not subject to such influences
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3.5.2 Reasons for Internal Economies of Scale
These are economies made within a firm as a result of mass production. As the firm
produces more and more goods, average cost begins to fall. It is due to:
Labour economies arise in the beginning because expansion of output permits
specialization, which reduces per unit cost.
Technical economies made in the actual production of the good. Technical
economies arise because large output permits introduction of new methods of
production. Large firms can use expensive machinery, intensively.
Managerial economies made in the administration of a large firm by splitting up
management jobs and employing specialist accountants, salesmen, etc.
Financial economies made by borrowing money at lower rates of interest than
smaller firms.
Marketing economies made by spreading the high cost of advertising on television
and in national newspapers, across a large level of output.
Commercial economies made when buying supplies in bulk and therefore gaining
a larger discount.
Research and development economies made when developing new and better
products.
3.5.3 External Economies of Scale
These are economies made outside the firm as a result of the expansion of the industry as a whole:
A local skilled labour force is available.
Specialist local back-up firms can supply parts or services.
An area has a good transport network. Industry expansion may lead to the
construction of a railway line in a certain region resulting in a reduction in
transport cost for all the firms
An area has an excellent reputation for producing a particular good. For
example, Sheffield is associated with steel.
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3.5.4 Internal Diseconomies of Scale
These occur when the firm has become too large and inefficient. As the firm increases
production, eventually average costs begin to rise because:
Labour diseconomies of scale :Once the output has expanded to a reasonable
level, further expansion leads to problem of over-crowding, which renders control
and coordination of the labour force difficult, and lack a sense of responsibility,
which endangers efficiency. Thus, beyond a point, there are diseconomies of
labour.
Management becomes out of touch with the shop floor and some machinery
becomes over-manned.
Decisions are not taken quickly and there is too much form filling.
Lack of communication in a large firm means that management tasks sometimes
get done twice.
Poor labour relations may develop in large companies.
3.5.5 External Diseconomies of Scale
These occur when too many firms have located in one area. Unit costs begin to rise because:
Local labour becomes scarce and firms now have to offer higher wages to attract
new workers.
Land and factories become scarce and rents begin to rise.
Local roads become congested and so transport costs begin to rise.
The key to understanding economies and diseconomies of scale is that the sources
vary. A company needs to determine the net effect of its decisions affecting its efficiency,
and not just focus on one particular source. Thus, while a decision to increase its scale of
operations may result in decreasing the average cost of outputs, it could also give rise to
diseconomies of scale if its subsequently widened distribution network is inefficient.
Thus, when making a strategic decision to expand, companies need to balance the effects
of different sources of ES and DS so that the average cost of all decisions made is lower,
resulting in greater efficiency all around.
3.6 Cost Concepts
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Production analysis, discussed so far, relate physical output to physical inputs.
Cost analysis, to be discussed in this section, deals with various types of costs and their
role in decision-making, and the cost and output relationships. This analysis equips the
future mangers of business houses with various cost concepts suitable for various
business decisions. The kind of cost concept to be used in a particular situation depends
upon the business decisions to be made. Cost considerations enter in to almost every
business decision, and it is important, though sometimes difficult, to use the right kind of
cost. Hence an understanding of the meaning of various concepts is essential for clear
business thinking.
3.6.1. Actual Cost and Opportunity Cost
Actual costs mean the actual expenditure incurred for acquiring or producing a
good or service. These costs are the costs that are generally recorded in the books of
accounts, for example, actual wages paid, cost of materials purchased, interest paid, etc.
These costs are also commonly known as Absolute costs or Outlay costs. Opportunity
cost of a input or service is measured in terms of revenue which could have been earned
by employing that input or service in some other alternative uses. Opportunity cost can be
defined as the revenue forgone by not making the best alternative use. The opportunity
cost concept applies to all situation where a thing can have alternative use. Very often,
there are cases where a particular resource or factors of production has no alternative use.
Its opportunity cost will be nil irrespective of its utility in the existing use.
3.6.2 Economic Costs and Accounting Costs
Economists' idea of cost of production differs from that of an accountant. In
economics, the cost of production consists of remuneration to all factors of production
and the imputed value of the owner's owned resources used for the production of goods
and/ or services. An accountant on the other hand would include only the cash payments
to the factors of production, made by the entrepreneur, for the services rendered by these
factors in the production process. Such cash payments are called the explicit costs.
Accountants' classifications of costs are usually set up for legal, financial control and
auditing purpose while economists’ classification designed to provide decision-making
guideline for management to achieve the economic goals of the firm. Therefore, an
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accountant will include only explicit costs in his cost calculation where as economists
include not only explicit cost but also implicit cost. The difference between accounting
cost and economics cost could be better understood by the following relationship.
Economic Cost = Accounting Cost (explicit cost) + implicit cost
3.6.3 Short-Run and Long-Run Costs
In economics, short-run is defined as a period during which at least one input is in
fixed supply; the fixed factor input is plant and equipment. In the long run all factor
inputs are variables. The short and long run do not refer to any fixed units of calendar
time. Corresponding to this period classification, there are short run and long run costs. A
short run cost is that cost which varies with output when fixed plant and capital
equipment remain the same while a long run cost is that which varies with output when
all factor inputs, including plant and equipment, vary. In the long run, all costs are
variable. The plant may be fixed today, but in future company may decide to increase its
size to any level desired within the range of possible alternatives. Short run cost is
relevant when a firm as to decide whether or not to produce more or less with a given
plant. Long run cost analysis useful in investment decision.
3.6.4 Fixed and Variable Costs
Costs are placed in to two broad categories, fixed and variable cost. Fixed costs
are defined as those, which remain the same at a given capacity and do not vary with
output. These costs will exist even if no output is produced in the short run. Variable
costs, on the other hand, vary directly as output changes. Rent on factory and office
buildings, interest payments on bonds, and depreciation of building are examples of fixed
costs. Examples of variable costs are wages and expenditure on raw materials. There are
some costs, which fall between these two extremes. They are called semi variable costs.
They are neither perfectly variable nor absolutely fixed in relation to changes in output.
For example, electricity bills often include a minimum charge, which the firm is bound to
pay irrespective of its consumption and the actual bill increases if more than minimum
electricity is consumed.
3.6.5 Separable and Common Costs
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Costs are also classified on the basis of their traceability. Separable costs are
those, which can be attributed to a product, a department, or a process. On the other hand,
common costs are those, which cannot be traced to any one unit of operation. For
example, electricity charges may not be separable department wise in a single product
firm or even product wise in a multiple product firm. The separable and common costs
are also known as direct and indirect costs, respectively. This is because direct costs can
be identified while indirect costs cannot be attributed directly to any unit of operation.
Common costs may create problems in the case of joint products. The entrepreneur might
likes to know the total cost of each product line. This he may need for pricing purposes,
for deciding whether or not it is a profitable line of production, and whether to
discontinue or modify its production and so on. Thus, management may desire to
distribute the common costs into various product lines.
3.6.6 Past Costs and Future Costs
Past costs are actual costs incurred in the past and are generally contained in the
financial accounts. The measurement of past cost is essentially a record keeping activity
and is essentially passive function insofar as the management is concerned. These costs
can merely be observed and evaluated in retrospect. Just to find out the factors
responsible for the excessive costs if any, without being able to do anything for reducing
them. Future costs are costs that are reasonably expected to be incurred in some future
period or periods. Then future costs are the only costs that matter for marginal decisions
because they are the only cost subject to management control. Unlike past costs, they can
be planned for and planned to be avoided. If the future costs are considered too high the
management can either plan to reduce them or find out ways and means to meet them.
3.6.7 Sunk, Shutdown And Abandonment Costs
A past cost resulting from decisions, which can no more be revised, is called a
sunk cost. In other words a sunk cost is a cost once incurred cannot be retrieved. It is
usually associated with the commitment of funds to specialized equipment or other
specialties not readily adaptable to present or future use e.g. brewery plant in times of
prohibition. Shutdown costs may defined as those costs which would be incurred in the
event of suspension of the plant operation and which would be saved if the operations are
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continued. Examples of such costs are the cost of sheltering the plant and equipment and
construction of sheds for storing exposed property. Abandonment costs are the costs of
retiring altogether a plant from service. Abandonment arises when there is a complete
cessation of activities and creates a problem as to the disposal of assets. These costs
become important when management faced with alternatives of either continuing existing
plant suspending its operations or abandoning altogether.
3.6.8 Total Cost, Average Cost and Marginal Cost
Total cost includes all cash payments made to hired factors of production and all
cash charges imputed for the use of the owner’s factors of production in acquiring or
producing goods or services. In the production decisions average and marginal cost
concepts are playing important role. Average cost is the cost per unit of output. It could
be obtained by dividing the total cost by total quantity produced (AC = TC/Q). If TC =
150, and Q = 30 units, then AC = 150/30 =5. Marginal cost is the addition made to total
cost by producing an additional unit of output. It can be obtained by MCn = TCn – TCn-1.
If total cost for producing 100 units of output is say rupees 10000 and total cost of
producing 101 unit of output is rupees 10110 then Marginal Cost of producing 101 th unit
of output is (MC101 = TC101 – TC100 = 10110 –10000 = 110) 110. The average cost
concept is important for calculating per unit profit of a business concern. Marginal cost
concept is essential in deciding whether a firm needs to expand its production or not. The
relevant costs to be considered will differ from one situation to other depending on the
nature of problem faced by the organization.
3.7. Cost Output Relationship
The behavior of cost is of vital importance in the management decision-making
process. The cost of production depends on many factors and they vary from one firm to
another in the same industry and from one type of industry to another. The general
determinants of costs are; a) output level, b) prices of factors of production, c)
productivity of factors of production and d) technology. Of all, the relationships between
cost and its individual determinants, the cost-output relationship is the most important
one. Its significance is so great that in economic analysis the cost function usually refers
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to the relationship between cost and rate of output alone, and thus assumes that all of the
other independent variables are kept constant.
The cost and output relationship is mainly of two types. One is short run cost and
output relationship and another is long run cost and output relationship. The Short-run
costs are those costs, which are incurred by the firm during a period in which some
factors, especially, capital equipment, land and management are held constant. The short-
run costs are incurred on the purchases of raw materials, chemicals, fuel, casual labour
etc. Which vary with the changes in the level of output. On the other hand, the long-run
costs are the costs incurred during a period, which is sufficiently large to allow the
variation in all factors of production including capital equipment, land and managerial
staff to produce a level of output. In the beginning short run cost output relationship is
described followed by the long run cost output relationship.
3.7.1 Cost Output Relationship in the Short Run
The short-run cost-output relationship refers to a particular scale of operation or to
a fixed plant. That is, it indicates variations in cost over output for the plant of a given
capacity and this relationship will vary with plants of varying capacity. Thus, the short-
run function relating cost to output variations is of the following type:
TC = f(x) + A
Where: TC = total cost
X = output and
A = total fixed cost
The fixed cost is for a given plant size; for different plant sizes, its value will differ. f(x)
obviously denotes total variable cost. For decision-making, one needs to know not only
the relationship between total cost and output but also separately between various types
of costs and output. Thus, the short-run cost-output relationship needs to be discussed in
terms of; a) fixed cost and output, b) variable cost and output, c) total cost and output.
3.7.1.1 Total Fixed and Variable Costs in the Short Run
There are some inputs or factors, which can be readily adjusted with the changes
in the output level. Thus, a firm can readily employ more workers, if it has to increase
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output. Likewise, it can secure and use more raw material, more chemicals without much
delay if it has to expand production. Such factors are called variable factors. On the other
hand, there are factors such as capital equipment, factory building, top management
personnel that cannot be so readily varied. It requires a comparatively long time to make
variations in them. Such factors are called fixed factors.
Corresponding to this distinction between variable factors and fixed factors,
economists distinguish between the short run and the long run. The short run is a period
of time in which output can be increased or decreased by changing only the amount of
variable factors such as labour, raw materials, chemicals, etc. In the short run, quantities
of the fixed factors such as capital equipment, factory-building etc., cannot be varied for
making changes in output. If the firm wants to increase output in the short run, it can only
do so by using more labour and more raw materials, it cannot increase output in the short
run by expanding the capacity of its existing plant building a new plant with a larger
capacity.
On the other hand, the long run is defined as the period of time in which the
quantities of all factors may be varied. In the long run, the output can be increased not
only by using more quantities of labour and raw materials but also by expanding the size
of the existing plant or by building a new plant with a larger productive capacity. It may
be noted that the word 'plant' in economics stands for a collection of fixed factors, such as
factory building, machinery installed, the organisation represented by the management
and other essential skilled personnel.
Fixed costs are also known as overhead costs and include charges such as
contractual rent, insurance fee, maintenance costs, property taxes, interest on the
borrowed funds, minimum administrative expenses such as manager's salary, watchman's
wages etc. Thus fixed cost is the cost incurred towards the fixed factors of production.
Variable costs include payments to labour employed, the prices of the raw material, fuel
and power used, the expense incurred on transportation and the like. If a firm shuts down
its operation for some time in the short run, it will not use the variable factors of
production and will not therefore incur any variable costs. Variable costs are also called
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prime costs or direct costs. Thus variable cost is the cost incurred on the variable factors
of production. Total cost is the sum of these two costs.
TC = TFC + TVC
The short-run total fixed, variable and total costs curves are portrayed in Figure
3.5 where output is measured on X-axis and cost on Y-axis. Since the total fixed cost
remains constant whatever the level of output, the total fixed cost curve (TFC) is parallel
to the X-axis. It will be seen in the figure that the total fixed cost curve (TFC) starts from
a point on the y-axis meaning thereby that the total fixed cost will be incurred even if the
output is zero. On the other hand, the total variable cost curve (TVC) rises upward
showing thereby that as the output increased, the total variable cost also increases. The
total variable cost curve TVC starts from the origin which shows that when output is zero
the variable costs are also nil.
Figure 3.5 Short-Run Total Fixed, Variable and Total Costs.
It should be noted that total cost (TC) is function of the total output (q); the greater the
output, the greater will be the total cost. In symbol we write
TC = f (q)
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we can prove this as follows:
TC = TFC + TVC
Suppose TFC is equal to K, which is a constant amount whatever the level of output.
TVC is equal to the amount used of the variable factor say, L, multiplied by the given
price of the variable, say, W,
TVC = L.w
TC = K + L.w.
Now, L.w., that is, TVC must rise with the increase in output, because only by increase in
the amount of variable factor, that is, by increase in L, that the output can be increased.
From the above equation it is clear that with the increase in L.w. as output rises, TC must
also rise. In other words, total cost (TC) is function of total output (q) and varies directly
with it. It will be seen from the table that the vertical distance between the TVC and TC
curves is constant throughout. This is because the vertical distance between the TVC and
TC curve represents the amount of total fixed cost, which remains and changed as output
is increased in the short run.
As per economic theory, its nature is such that in the beginning as output
increases, total variable cost increases at a decreasing rate, then at a constant rate and
eventually at an increasing rate. Thus, the increase in total variable cost goes on
increasing at the diminishing rate up to a certain level of output, then remains constant for
some range of output, and then it starts rising at an increasing rate. This is so because the
need for variable factor inputs for increased output behaves in a similar fashion, and there
is the operation of the law of diminishing returns. Because, the requirement of labour
does not change linearly with quantity produced. Once the output has reached a
reasonable level, the increase in output may become increasingly costly because the
variable factor inputs may not be easily available or they may have to be paid higher
price than before. Yet another reason for a non-linear total variable cost and output
relationship is the operation of the law of diminishing returns. According to this law as
more and more units of a variable factor of production are used along with a fixed factor
of production, the marginal product of that variable factor first increased, then remains
constant and finally starts diminishing.
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3.7.1.2 Average and Marginal Cost Curves in the Short Run
The above section describes the total cost concepts and output relationship. In
practice businessmen and economists, very often, use the costs in the form of cost per
unit, or average costs rather than totals. Besides marginal cost is another important
concept, which is being, very widely used in practice. Important average cost concepts
used in the decision-making are Average Fixed Cost, Average Variable Cost and Average
Total Coast.
AVERAGE FIXED COST (AFC): Average fixed cost is the total fixed costs divided by
the number of units of output produced. Therefore;
AFC = TFC /Q
Where Q represents number of units of output produced.
Thus, the average fixed cost can be obtained by the dividing the total fixed cost by the
level of output. In the table 3.1, the column 6 gives the average fixed cost. Since total
fixed cost is a constant quantity (Rs.3000) average fixed cost steadily falls as output
increases. Therefore, average fixed cost curve, as shown in the figure 3.6, slops
downward throughout its length. As output increases, the total fixed cost spreads over
more and more units and therefore average fixed cost become less and less. When output
becomes very large average fixed cost approaches zero. The AFC curve gets very nearer
to but never touches either axis.
Table 3.1: Different Cost Concepts
Quantity of
Output(1)
Number of Workers
(L)(2)
Total Fixed Cost(3)
Total Variable
Cost(4)
Total Cost
(5)
A F C
(6)= 3/1
A V C
(7) = 4/1
A T C
(8) = 5/1
M C
(9) = ∆5/∆1100 10 3000 1000 4000 30 10 40 40200 15 3000 1500 4500 15 7.5 22.5 5300 23 3000 2300 5300 10 7.7 17.7 8400 40 3000 4000 7000 7.5 10 17.5 17500 73 3000 7300 10300 6 14.6 20.6 33
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Figure 3.6: Relationship between Output and Different Cost Curves
AVERAGE VARIABLE COST (AVC): Average variable cost is the total variable cost
divided by the number of units output produced. Therefore;
AVC = TVC /Q
Where Q represents the total output produced.
Thus, average variable cost is variable cost per unit of output. It will be seen that average
variable cost falls until 200 units of output and there after it increases. The average
variable cost will generally fall as the output increases from zero to the normal capacity
of output. Then afterwards average variable cost will rise steeply because of the operation
of diminishing returns. The average variable cost curve is shown in figure 3.6 by the
curve AVC which first falls, reaches minimum and rises.
AVERAGE TOTAL COST (ATC): The average total cost or what is called simply
Average cost is the total cost divided by the number of units of output produced.
ATC = TC /Q
Since the total cost is the sum of total variable cost and total fixed cost, the average total
cost is also the sum of average variable cost and average fixed cost. This can be proved as
follows:
ATC = TC / Q
Since TC = TVC + TFC
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Therefore, ATC = (TVC +TFC)/Q or AVC + AFC
It will be seen from table 3.1 that as output increases, in the initial stages, that is, until
400 units of output produced average total cost falls and thereafter it is rising. This impels
that short run ATC will have a U - shape, which is shown in figure 3.6. The behavior of
the average total cost curve will depend upon the behavior of the average variable cost
curve and average fixed cost curve. In the beginning, both AVC and AFC curves fall, the
ATC curve therefore falls sharply in the beginning. When AVC curve begins rising, but
AFC curve is falling steeply, the ATC continues to fall. This is because during this stage
the falls in AFC curve weighs more than the rise in the AVC curve. But as output
increases further, there is a sharp rise in AVC, which more than offsets the fall in AFC.
Therefore, the ATC curve rises after a point. Therefore, ATC like the AVC curve first
falls, reaches its minimum value and then rises. The ATC is, therefore, almost of a 'U'
shaped.
MARGINAL COST (MC): The concept of marginal cost occupies an important place in
the economic theory. Marginal cost is an addition made to the total cost by producing an
additional unit of output. In other words, marginal cost is the addition to the total cost of
producing 'n' units instead of n-1 units (i.e., one less). Where n is any given number. It
can be written as;
MCn = TCn - TCn-1
This formula is suitable when the output data available in individual units. When the
output data is in the aggregate form MC could be obtained form the alternative formula.
Since marginal cost is a change in total cost as a result of a unit change in output, it can
also be written as:
MC= ∆TC/∆Q
Where ∆TC represents a change in total cost and ∆Q represents change in the output. In
the table 3.1 when output increase form 100 units to 200 units the total cost increased
form rupees 4000 to 4500. Here change in quantity of output (∆Q) is 100 units and
similarly change in total cost is rupees 500. Therefore;
MC = 500/100 = 5
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Like other average cost curve, Marginal Cost curve also falls in the beginning and then
increase continuously. We can find some interesting relationship between average cost
and marginal cost. When marginal cost is below the average cost average cost is falling.
When MC is above the AC average cost is increasing. Similarly when MC = AC latter is
at its minimum point. It is worth to recall the fact from laws of returns. Marginal
productivity curve intersect the average productivity curve from the above. When
average productivity is equal to marginal productivity, average productivity is at its
maximum point. Productivity and cost moves in the opposite direction. Therefore we
can find such a relationship between AC and MC.
3.7.2 Cost Output Relationship in the Long Run
The long run, as already explained above, refers to time period during which full
adjustment could be made through varying all inputs including capital equipment and
factory building. In the long run, therefore, there is no fixed factor of production and
hence there is no fixed cost. The long run total cost function will be of the following
form:
TC = f (x, k)
Where k stands for the plant size and x stand for the output level. As k changes, TC also
changes. Thus, the above-mentioned long-run cost function contains a family of short-run
cost functions, one for each value of k. It is important to note that all production is done
in the short run during which the plant size is given. Thus, long run consists of all
possible short run situations among which the firm has to choose to produce a target level
of output. In the short run the firm tied with a given plant whereas in the long run the
firm moves form one plant size to another; the firm can make a large plant if it has to
increase its output level and a small plant if it has to reduce its output. Therefore, the long
run average cost curve depicts the least possible average cost for producing various levels
of output. In order to understand how the long run average cost is derived, consider the
three short run average cost curve as shown in the figure 3.7
The short run average cost curves are also called plant curves because in the short
run plant size is fixed and each of the short run average cost curve correspond to a
particular plant. SAC1, SAC2 and SAC3 shows the different plant size and the producer, in
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the long run, could choose any of these plant size according to his requirement. It is clear
form the figure that up to OB amount of output, the firm will operate on the SAC1 though
it could also produce with SAC2 because up to OB amount of output, production on SAC1
curve entitles lower cost than on the SAC2. For instance, if the level of output OA is
produced with SAC1 it will cost AL per unit and if it is produced with SAC2 it will cost
AH per unit. Obviously AL is smaller than AH. Similarly all other output levels up to OB
can be produced more economically with smaller plant SAC1 than with larger plant SAC2.
To produce exactly OB level of output average cost is same on both the plant size under
such circumstances it is rational to choose SAC2 because it contains reserved capacity at
that level. If the firm wants to produce an output, which is equal to or larger than OB,
then it will be economical to produce on SAC2. Plant size SAC1 is suitable size to
produce the OB level of output to OD level of output. If the firm further wants to produce
the output beyond the OD level then the firm needs to further expand its size.
Figure 3.7: Short Run Average Cost Curve for Different Plant Size.
Thus, In the long run the firm has a choice in the employment of a plant, and it
will employ that plant which yield minimum possible unit cost for producing a given
output. The long run average cost curve depicts the least possible average cost for
producing various levels of out put when all the inputs including the plant size is variable.
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If the output is small, the total cost is less for a small plant size than for a large plant size
and quite the reverse holds good for large outputs. This is so because if a large plant is
installed it will remain under-utilized when output is small while a small plant will be
inadequate or insufficient for large outputs. Thus, the family of short-run total cost
curves, one for each plant size, will be of the type shown in Figure 3.8.
Figure 3.8: Long Run Average Cost Curve
In any case, there my be infinite number of shot run average cost curves. The
Long Run Average Cost (LAC) curve is to draw in such a way as to tangent to each of
the short run average cost curves. Therefore, the long run average cost curve is also
called envelope because it supports a family of short run average cost curves. Since an
infinite number of short run average cost curves are assumed, every point on the long run
average cost curve will be tangency point with some short run average cost curve. In fact,
long run average cost curve is nothing else but the louses of all these tangency points. If a
firm desires to produce a particular output in the long run, it will pick a point on the long
run average cost curve corresponding to that output and it will then build a relevant plant
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and operate on the corresponding shot run average cost curve. In this example plant size
indicated by SAC4 is an optimum plant size because the minimum point of this cure
tangent the minimum point of the LAC curve.
3.7.3 Modern Views on Cost Output Relationship
The U shaped cost curves of the traditional theory have been questioned by
various writers both on theoretical a priori and on empirical grounds. As early as 1939
George Stigler suggested that the short run average variable cost has a flat stretch over a
range of output, which reflects the fact that firms build plant with some flexibility in their
productive capacity. In the modern days plants, generally, will have a capacity larger than
the expected average level of sales, as organizations desire to have some reserved
capacity. Thus, the short run average variable cost in the modern version has a saucer
type shape. That is it is broadly U shaped but has a flat stretch over a range of output.
The shape of the long run cost curve has attracted greater attention in economic
literature, due to the serious policy implications of the economies of large-scale
production. According to the modern theory long run average cost curve is L shaped.
Several reasons have been put forward to explain the why long run cost curve is L shaped
rather than U shaped. It has been argued that managerial diseconomies can be avoided by
the improved method of modern management sciences.
3.8. Self Review Questions
1. Define production function
2. What is Isoquant?
3. Define iso-cost line with suitable example
4. Distinguish between laws of returns and laws of returns to scale
5. Distinguish between fixed cost and variable cost
6. Mention determinants of cost.
7. Mention the production decision problems. Explain the application of production
function analysis in solving these problems.
8 Critically examine the importance of isoquant and iso-cost curve in the
managerial decision making process.
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9. Explain the managerial uses of cost output relationship.
10. Explain Fixed Cost (FC), Total Variable Cost (TVC), Total Cost (TC), Average
Fixed Cost (AFC), Average Cost (AC) and Marginal Cost (MC) and complete the
following table
Units of Output
FC TVC TC AFC AVC AC MC
0 2000 0 2000 ... ... ... ... 10 2000 2800 8020 1400 10030 3860 4640 2200 10550 2000 2800 6060 5800 10070 2000 5000 7000
3.9. References/ Suggested Readings
1. Koutsoyiannis, A.: “Modern Micro Economics”, ELBS With Macmillan, Hong Kong.
2. Mote, V. L., Samuel Paul, Gupta,G. S: “ Managerial Economics: Concepts and Cases”,
Tata McGraw-Hill Publishing Company Limited, New Delhi
3. D.M.Mithani : “Managerial Economics: Theory and Applications”, Himalaya
Publishing House, Mumbai-400 004
4. Craig Petersen. H, and Cris Lewis.W: “ Managerial Economics”, Maxwell Macmillan
International editions, New York
5. Dominick Salvatore: “Managerial Economics”, McGraw-Hill International Editions,
Singapore
6. Ahuja, H. L.: “Advanced Economic Theory”, S.Chand & Company Ltd. New Delhi-
110 055
7. Jhingan, M.L.: “Advanced Economic Theory”, Vrinda Publications (P) LTD,Delhi-110
091
8. Varshney RL, and Maheshwari K.L: “Managerial Economics”, Sultan Chand & Sons,
New Delhi-110002
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MODULE-IV: MARKET STRUCTURE AND PRICE DETERMINATION
Determination of price is an important managerial function in all kinds of
business organizations. Preceding chapters described the demand and supply of goods
and services. This chapter brings these issues together in order to describe the
determination of the price of goods and services. It deals with the meaning and types of
market and theoretical market models of price and output determination. The last section
of this chapter describes the pricing method in practice.
4.1 Meaning of Market
A Market is an institutional arrangement under which buyers and sellers can
exchange some quantity of goods and services at mutually agreeable prices. A market
can, but need not, be a specified place or location where buyers and sellers actually come
face to face for the purpose of transacting their business. For example K. R. Market in
Bangalore is located in particular location. On the other hand, the market for management
faculty has no specific location; rather it refers to the entire formal and informal network
on teaching opportunity throughout the nation. In other words market can be described
as an arrangement whereby buyers and sellers come in close contact with each other
directly or indirectly to sell and buy goods or service at mutually agreeable prices.
Therefore, market may be physically identifiable e.g. K. R. Market in Bangalore. But
concept of market does not refer only to a fixed location. What is needed for a market is a
group of potential sellers and buyers are in close contact with each other through any
means so that transaction processes take place. Market, thus, refers to the conditions and
commercial relationships facilitating the transaction between buyers and sellers.
4.2 Types of Markets
Markets may be classified on the basis of geographical area, time element and
competition. Of all the criteria used for the classification of the market competition is
most important from the management decision point of view. Only a passing reference is
given about the market classification based on the other two criteria. Market
classification based on the competition is explained under the heading market structure.
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Based on the geographical area markets could be classified into Local
markets, Regional markets, national market and world market. Local market
has a narrow geographical coverage. It is confined to a particular village, town
or city only. Perishable goods like milk, vegetable, fruits, etc. are generally
traded in local markets. Goods or services, which have the regional
importance, will be traded in regional markets. Kannada films have wide
market in Karnataka because it is the language of this region. When goods are
demanded and sold on a nation wide scale, such goods said to acquire the
national market. Same is the case with the world market.
Based on the time element market could be classified into market period,
short period and long period. The market period is regarded as a very short
period during which it physically impossible to change the stock of the
commodity. In this period it is not possible to make any adjustment in the
supply to the changing demand condition. Similarly the short period is a time
period during which it is possible for a firm to expand output by using more of
variable inputs but not the fixed factors of production. In this time period
firms could make some adjustment in the supply according to the changing
demand condition. The long period refers to a time period during which firm
could adjust its scale of production in order to meet the changing demand
condition. In the long run firms could adjust their supply in the changing
demand condition.
4.2.1 Market Structures:
The nature of competition in market depends on the number of participants in
the market and nature of commodity, which together determine the extent of market
control of each participant. Perfect competition represents the benchmark market
structure that contains a large number of participants on both sides of the market, and
no market control by any firm. Three market structure models with varying degrees of
market control on the supply side of the market are: monopoly, monopolistic
competition, and oligopoly (table 4.1). Three lesser-known market structures with
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varying degrees of market control on the demand side of the market are: monopsony,
oligopsony, and monopsonistic competition.
Table 4.1. Classification of Markets (Based on Competition).
Kind of Competition Number of firms
Nature of Products
Degree of control over
price
Part of economy where prevalent
Perfect Competition
Perfect Competition Large number
Homogeneous None A few agricultural products
Imperfect competition
Monopolistic Competition
Large number
Differentiated but close substitutes
Some Tooth paste, soap etc.
Oligopoly Pure Few Homogeneous Some Steel, Aluminum
DifferentiatedFew Differentiated Some Automobiles
Monopoly One Unique Considerable A few public utilities
4.2.2. Supply-Side Market Structures
The structure of a Market primarily depends on the number of firms operating in
the market. Perfect Competition is the theoretical benchmark of efficiency achieved
because large number of participants in the market gives neither buyers nor sellers market
control. Other market structures have different amounts of market control due to different
numbers of competitors. In general, more competition means less market control.
Varying degrees of market control among sellers generate three alternative market
structures viz. Monopoly, Monopolistic competition and Oligopoly.
Perfect Competition: Perfect competition is an ideal market structure
characterized by a large number of participants on both sides of the market. The
product sold by each firm in the market is identical to that sold by every other
firm. Buyers and sellers have complete freedom of entry into and exit out of the
industry, and perfect knowledge of prices and technology. Perfect competition is
an idealized market structure that is not observed in its purest form in the real
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world. However, some of the agricultural products possess main feature of perfect
competition market. While unrealistic, its primary function is to provide a
benchmark that can be used to analyze real world market structures. In particular,
perfect competition efficiently allocates resources. It does this by exchanging the
quantity of goods that equate price and marginal cost. With a large number of
participants, both buyers and sellers are price takers. Individual participants must
exchange goods at the market price and none can influence the market in any
way. For this reason, the demand price buyers are willing to pay, based on the
satisfaction received, is equal to the supply that sellers are willing to accept, based
on the opportunity cost of production.
Monopoly: Monopoly, characterized by a single competitor and complete control
of the supply side of the market. Monopoly contains a single seller of a unique
product with no close substitutes. The demand for monopoly output is the market
demand. Monopoly is the worst-case scenario of inefficiency on the selling side
of the market and thus is often subject to government regulation.
Monopolistic Competition: Monopolistic competition residing closer to perfect
competition. It characterized by a large number of relatively small competitors,
each with a modest degree of market control on the supply side. A key feature of
monopolistic competition is product differentiation. The output of each producer
is a close but not perfect substitute to that of every other firm, which helps satisfy
diverse consumer wants and needs. While market control always means
inefficiency, monopolistic competition is not a serious offender.
Oligopoly: Oligopoly is closer to monopoly. It characterized by a small number of
relatively large competitors, each with substantial market control. Oligopoly
sellers exhibit interdependent decision-making, which can lead to intense
competition and the motivation to cooperate through mergers and collusion.
Oligopoly tends to have serious inefficiency problems, but also provides the
benefits of innovation and large-scale production. Further, It could be classified
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into two kinds, based on the nature of commodity viz. Pure Oligopoly and
Differentiated Oligopoly.
Besides these four markets, two other market structures that tend to appear in the analysis
of product and factor markets are duopoly and bilateral monopoly.
Duopoly: This is a special type of oligopoly that contains two firms. While the
duopoly market structure can and does exist in the real world, it is perhaps most
important as a tool used to analyze oligopoly.
Bilateral Monopoly: This is a market containing one seller and one buyer. In
effect, it is the merger of monopoly from the selling side with monopsony from
the buying side. This market structure provides a great deal of insight into
unionized labor markets, where the employer is the single monopsony buyer and
the labor union represents the monopoly seller.
4.2.3. Demand-Side Market Structures
While the focus of market structures usually falls on the supply-side of markets,
varying degrees of market control on the demand side generate three additional market
structures viz. Monopsony, Monopsonistic Competition and Oligopsony.
Monopsony: Monopsony characterized by a single competitor and complete
control of the demand side of the market. Monopsony contains a single buyer
in the market and represents the demand-side counterpart to monopoly on the
supply side. The supply facing a monopsony is the market supply. Monopsony
is the worst-case scenario of inefficiency on the buying side of the market.
Monopsonistic Competition: Monopsonistic competition characterized by a
large number of relatively small competitors, each with a modest degree of
market control on the demand side. Monopsonistic competition represents the
demand-side counterpart to monopolistic competition on the supply side. A
key feature of monopsonistic competition is product differentiation as each
buyer seeks to purchase a slightly different product. While market control
always means inefficiency, monopsonistic competition is not a serious
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offender. Monopsonistically competitive buyers are often on the other side of
a market containing monopolistically competitive sellers.
Oligopsony: Oligopsony characterized by a small number of relatively large
competitors, each with substantial market control. Oligopsony represents the
demand-side counterpart to Oligopoly on the supply side. Oligopsony buyers,
like their oligopoly counterparts, exhibit interdependent decision-making,
which can lead to intense competition and the motivation to cooperate.
Oligopsony tends to have serious inefficiency problems.
It is also clear from the above demand side market structures that, as the number of
participants on the demand side of the market increases market control decreases.
4.3. Perfect Competition
This is one of four basic market structures. It characterized by a large number
of small firms, producing and selling homogeneous products, without any restriction
of entry into and exit out of the industry, and perfect knowledge of prices. It is an
idealized market. In the strict sense of the term it is not observed in the real world.
While unrealistic, it does provide an excellent benchmark that can be used to analyze
real world market structures. In particular, perfect competition efficiently allocates
resources. Some important characteristic features of this market structure are
discussed hereunder.
4.3.1 Characteristics of Perfect Competition
The four characteristics of perfect competition are: (1) large number of small
firms, (2) identical products, (3) perfect resource mobility, and (4) perfect knowledge.
Large Number of Small Firms: A perfectly competitive industry contains a large
number of small firms, each of which is relatively small compared to the overall
size of the market. It ensures that no single firm can influence market price or
quantity. If one firm decides to double its output or stop producing entirely, the
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market is unaffected. The price does not change and there will be no change in the
quantity exchanged in the market.
Identical Products: Each firm in a perfectly competitive market sells an identical
product, what is often termed "homogeneous goods." The essential feature of this
characteristic is not so much that the goods themselves are exactly, perfectly the
same, but that buyers are unable to find any difference. In particular, buyers
cannot tell which firm produces a given product. There are no brand names or
distinguishing features that differentiate products.
Freedom of entry and exit: Perfectly competitive firms are free to enter and exit
an industry. Government rules and regulations or other barriers do not restrict the
firms. Likewise, a perfectly competitive firm is not prevented from leaving an
industry.
Perfect Knowledge: In perfect competition, buyers are completely aware of
sellers' prices, such that one firm cannot sell its good at a higher price than other
firms. Each seller also has complete information about the prices charged by other
sellers. So, they do not inadvertently charge less than the going market price. All
perfectly competitive firms have access to the same production techniques. No
firm can produce its good faster, better, or cheaper because of special knowledge
of information.
4.3.1.1 Pure Versus Perfect Competition
Competition is classified into Pure and Perfect competition. The market is said
to be pure competition if it possess only first three conditions. Contrary to it, the market
is considered to be pure competition if it possesses the six conditions listed below.
i) There are large number of buyers and sellers
ii) Goods produced and sold are homogeneous
iii) There is Free Entry or Exit for any producer or seller
iv) Perfect knowledge on the part of the buyers and sellers about market
conditions
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v) Perfect mobility of the factors of production, and
vi) Proximity to the market/ no extra transport cost
4.3.2. Demand and Revenue Curve of a Perfect Competitive Firm.
The conditions of perfect competitive market ensures that a single price must
prevail under perfect competition and the demand curve (or average revenue curve) faced
by an individual firm is perfectly elastic at the ruling price in the market. That is a
perfectly competitive firm faces a horizontal demand curve. It signifies that the firm does
not exercise any control over the price of the product. Each firm in a perfectly
competitive market is a price taker and can sell all of the output that it wants at the going
market price. A firm is able to do this because it is a relatively small part of the market
and its output is identical to that of every other firm. As a price taker, the firm has no
ability to charge a higher price and no reason to charge a lower one. It can sell all of the
output it wants at the going market price; hence, it has no reason to charge less. If it tries
to charge more than the going market price, then buyers can simply buy output from any
of the large number of perfect substitutes produced by other firms. Because the price
faced by a perfectly competitive firm is unrelated to the quantity of output produced and
sold, this price is also equal to the marginal revenue and average revenue generated by
the firm. If a firm is able to sell any quantity of output at the market price, then the
average revenue, revenue per unit sold, is also equal to market price. It could be
explained with the help of the figure 4.1.
In the perfect competitive market, market price determined by the market demand
and market supply curves. In the figure (4.1 A), Market price (OP) determined by the
Market demand (DD) and market supply curve (SS) at point E. At this market price level
an individual firm could sell any amount of the commodity. Therefore, the demand curve
(or average revenue curve) for an individual firm is horizontal to OX axis. At OP market
price, P AR=MR is the demand curve for an individual firm (in the panel B of the figure).
Since, the firm could sell any amount of commodity at the existing market price its
demand curve (AR curve) is horizontal to OX axis. When AR curve is horizontal to OX
axis naturally AR is equal to MR. Since demand curve is horizontal to OX axis an
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individual firm could not charge the price more than the market price level. Market price
will increase only if there is upward shift in the market demand curve. An individual firm
could sell its product at the higher price only if there is increase in the market price level.
Figure 4.1. Demand Curve of a Perfect Competitive Firm.
4.3.3 Price and Output Determination under Perfect Competitive Market.
Price and output determination under perfect competitive market in the short run
is quite different from that in the long run. Therefore a separate analysis has been made
for these time periods. As already explained in the preceding chapters, the short run
means a period of time within which the firms can alter their level of output only by
varying the level variable input use. Moreover, in the short run, new firms can neither
enter the industry nor the existing firms can leave it. Whereas in the long run firms can
adjust their scale of production according to the changing demand conditions. Besides, in
the long run new firms can enter the industry and also existing firms could exit the
industry depending upon the profit level in the industry. In the beginning price and output
determination in the short run is described followed by long run price and output
determination.
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As already discussed, Market price is determined by the market demand and
market supply forces. An individual firm is a price taker that is it has to accept the
prevailing price as given datum. The firm has to adjust output according to its cost
condition. The analysis of short-run production by a perfectly competitive firm provides
insight into market supply. The key assumption is that a perfectly competitive firm, like
any other firm, is motivated by profit maximization. The firm chooses to produce the
quantity of output that generates highest possible level of profit, based on price, cost
conditions, production technology, etc. An individual firm is said to be in the equilibrium
when it attains the maximum possible profit level. It attains the maximum possible profit
level at the point where Marginal Cost (MC) equals Marginal Revenue and MC is cutting
the MR curve from the below. It is worth to note that in the short run each firm need not
necessarily earn the normal profit. Some firms may be earning normal profits; some super
normal profit or even some may be incurring losses depending on their cost functions.
This means, firms making supernormal profit and maximum losses can coexist along
with the short run equilibrium of the Industry. The short-run production decision in
perfect competition is illustrated using the figure 4.2.
Figure 4.2 Price and Output Determination Under Perfect Competitive Market
In figure 4.2 (panel A) Market equilibrium price OP is determined by the
intersection of market demand curve (DD) with market supply curve (SS) at the point E.
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All the firms in the industry have to accept this price level and make adjustment in their
output level according to their cost conditions. Short-run Marginal Cost (SMC) curve of
the firm B intersected its Short-run Marginal Revenue (SMR) curve at the point E (in the
panel B of the figure). Therefore it is producing OM level of output. At this output level
Short-run Average Cost (SAC) per unit is MA whereas Average Revenuer per unit is
ME. Therefore, the firm B earning AE amount of profit per unit. The total amount of
profit is (AE * OM) indicated by the shaded area BAPE. Firm C producing ON amount
of output because its SMC curve intersects its SMR curve at the point E (in panel C).
Since it’s SAV is greater than SAR the firm incurring the loss. The total loss incurred by
the firm C is indicated by the shaded area PELS. For the given cost conditions, if the
market price increases profit level of the firms increase. Therefore, there is positive
relationship between price and supply level.
Thus, in the short run some firms may be earning normal profits; some super
normal profit or even some may be incurring losses but industry is said to be in the
equilibrium if there is no tendency for its total output to expand or to contract. In other
words on an average firms should earn normal profit. If there is supernormal profit it
attract the new firms to the industry contrary if it incur loss it encourage the existing
firms to quit the industry.
A key implication obtained from the short-run analysis of perfect competition is
positive relation between price and the quantity of output supplied. In particular, the
supply curve for a perfectly competitive firm is positively sloped. This relation is
generated for two reasons:
First, a perfectly competitive firm produces the quantity of output that equates
price and marginal cost.
Second, the marginal cost curve, guided by the law of diminishing marginal
returns, is positively sloped.
Taken together these two observations indicate that a higher price entices a perfectly
competitive firm to increase the quantity of output produced and supplied. In particular, a
perfectly competitive firm's marginal cost curve is also its supply curve. This conclusion,
however, only applies to perfect competition. Firms operating in market structures that do
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not equate price and marginal cost, but rather equate marginal revenue and marginal cost.
As such, the marginal cost curve is not the supply curve for the firm.
In the short run, as already explained above, firms could adjust their output level
only by varying the variable input use level. Short time period does not permit the new
firms to enter the industry and also existing firm could not quit the industry. Therefore, in
the short firms under perfect competitive condition could, on an average, earn
supernormal profit or even they may incur heavy loss depending on the demand
condition. But in the long run industry as a whole, all the firms together, could not earn
super normal profit and also there is no inevitability for them to incur the loss in the long
run. If there is super normal profit in the industry new firms will rush into the industry
resulting gradual disappearance of supernormal profit. On the other hand if there is heavy
loss in the industry as a whole some of the firms which are incurring heavy loss will
gradually quit the industry which results in gradual disappearance of heavy loss in the
industry.
In the long run, with all inputs variable, a perfectly competitive industry reaches
equilibrium at the output that achieves the efficient scale of production, that is, the
minimum of the long run average cost curve. This is achieved through a two-fold
adjustment process.
The first is entry and exit of firms into and out of the industry. This ensures that
firms earn zero economic profit and that price is equal to average cost.
The second is the pursuit of profit maximization by each firm in the industry. This
ensures that firms produce the quantity of output that equates price (and marginal
revenue) with short-run and long run marginal cost. The end result of this long-
run adjustment is:
P = AR = MR = MC = LRMC = AC = LRAC
This condition means that the market price (P) (which is also equal to a firm's
Average Revenue (AR) and Marginal Revenue (MR)) is equal to Marginal Cost (MC)
(both short run and long run) and Average Cost (AC) (both short run and long run). With
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price equal to marginal cost, each firm is maximizing profit and has no reason to adjust
the quantity of output or factory size. With price equal to average cost, each firm in the
industry earns only a normal profit. Economic profit is zero and there are no economic
losses, meaning no firm is inclined to enter or exit the industry.
4.4. Monopoly
The term Monopoly derived from the Greek monos, one + polein, to sell. Thus
Monopoly is defined as Market situation where there is only one provider of a kind of
product or service. Monopolies are characterized by a lack of economic competition for
the goods or service that they provide and a lack of viable substitutes. Since monopolist
produce unique product there is no close substitute for the product. The cross elasticity of
demand with every other product is almost zero. Monopoly should be distinguished from
the cartel. In a monopoly a single firm is the sole provider of a product or service; in a
cartel a centralized institution is set up to partially coordinate the actions of several
independent providers.
4.4.1. Primary Characteristics of a Monopoly
Single Seller: A pure monopoly is an industry in which a single firm is the sole
producer of a good or the sole provider of a service. This is usually caused by a
blocked entry.
Unique product/No Close Substitutes: The product or service is unique in ways,
which go beyond brand identity, and cannot be easily replaced.
Price Maker: In a pure monopoly a single firm controls the total supply of the
whole industry and is able to exert a significant degree of control over the price,
by changing the quantity supplied. It is not meant that monopoly firm is some
thing like dictator in the market. If it fixes the price for his product buyers
determine the quantity that they are willing to buy at that particular price level.
Monopoly firm could not determine the price and quantity simultaneously.
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Blocked Entry: The reason a pure monopolist has no competitors is that certain
barriers are kept for new firms to enter the market. Depending upon the form of
the monopoly these barriers can be economic, technological, legal (basic patents
on certain drugs), or of some other type of barrier that completely prevents other
firms from entering the market
4.4.2. Forms of Monopoly
Some important forms of monopoly are discussed here under:
Legal monopoly: A monopoly based on Laws explicitly preventing
competition is a legal monopoly or de jure monopoly. When such a monopoly is
granted to a private party, it is a government-granted monopoly; when
government itself operates it, it is a government monopoly. A government
monopoly may exist at different levels of government (e.g. just for one region or
locality or State).
Natural monopoly: A natural pool is a monopoly that arises in industries where
economies of scale are so large that a single firm can supply the entire market
without exhausting them. In these industries competition will tend to be
eliminated as the largest (often the first) firm develops a monopoly through its
cost advantage. Natural monopoly arises when there are large capital cost relative
to variable cost, which arises typically in network industries such as electricity
and railway. Whether an industry is a natural monopoly may change over time
through the introduction of new technologies. Government can also artificially
break up a natural monopoly industry, although (e.g. electricity liberalization).
Local monopoly: A local monopoly is a monopoly of a market in a particular area,
usually a town or even a smaller locality: the term is used to differentiate a
monopoly that is geographically limited within a country, as the default
assumption is that a monopoly covers the entire industry in a given country.
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Coercive monopoly: A coercive monopoly is one that arises and whose existence
is maintained as the result of any sort of activity that violates the principle of a
free market and is therefore insulated from competition, which would otherwise
be a potential threat to its superior status
4.4.3. Price and Output Determination under Monopoly
In monopoly we have just one firm in the industry. What distinguishes the
monopolist from the perfectly competitive firm is that the latter is a price taker, while the
former is not. A businessman with monopoly power can choose the price he wants to sell
at. If he sets it higher, he sells less. If he sets it lower, he could sell more. Thus, the
monopolist can exert some influence over the market price, because the demand curve he
faces is the market demand curve, which is downward-sloping. This contrasts with the
horizontal demand curve facing the perfectly competitive firm. This difference in the
demand curve is what distinguishes monopoly from competition. To find out which
price-output combination maximizes the monopolist's profits we need first to explore the
implications of its downward-sloping demand curve. We often assume that the demand
curve is linear
P= a-bq
Where p is price and q is quantity sold. This gives a straight line, downward-sloping
demand curve. From the point of view of the firm a demand curve indicates how much it
can charge for each unit of output varies as its output varies. The demand curve is, in
other words, an Average Revenue (AR) curve. When the AR curve is downward sloping
Marginal Revenue (MR) curve will also slopes downward but the rate of slope of the
latter is faster than the former. In order to maximize the profit level, monopolist produce
the output at the point where its Marginal Cost (MC) curve intersect the MR curve from
the below. The price (AR) level for any given output level is determined on the basis of
demand condition. This together with cost conditions determines the profit level of
monopolist. This can be explained with the help of the figure 4.3.
The Marginal Cost (MC) of the firm intersects its Marginal Revenue (MR) curve
at point E. The firm, therefore, is producing OM level of output. Buyers are prepared to
buy the entire OM level of output if the firm fixes the price OP. It could be understood by
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drawing a straight line from point M on the horizontal axis towards the demand curve.
Here, this line meets the demand curve at point S. It shows that the consumers are
prepared to buy this level of output at the price level OP. At this level of output Average
Cost (AC) per unit is MT where as the Average Revenue (AR) is MS per unit. Therefore,
the firm is earning TS amount of net income per unit. The total net income or profit
earned by the firm is shown by the shaded area i.e. HTSP.
Figure.4.3. Price and Output Equilibrium under Monopoly
4.5. Monopolistic Competition
Perfect competition and Monopoly are extreme cases, which are seldom found in
practice. But monopolistic competition and Oligopoly market situation could be very
widely found in practice. Monopolistic Competition refers to competition among large
number of sellers producing and selling close but not perfect substitutes.
4.5.1. Characteristics of Monopolistic Competition
This market condition possess the following characteristics:
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Large number of sellers: As in the perfect competitive market, there will be large
number of sellers in the monopolistic competitive market. No seller by changing
his price and output policy could have any perceptible effect on the sales of others
as in the oligopoly market.
Product Differentiation: A general class of product is differentiated if any
significant basis exists for distinguishing the goods of one seller from another.
Such basis may be real or imaginary. Product differentiation may be by: a) quality
of product such as durability, size, shape, design etc. or b) advertisement, which
could create imaginary uniqueness in the product.
Freedom of entry and exit: Individual firms/sellers and buyers are free to enter or
leave the market as in the perfect competitive market.
Nature of Demand curve: The demand curve of an individual firm under
monopolistic competition slopes downward from left to right. In the preceding
section you have understood that in the perfect competitive market demand curve
for an individual firm is perfectly elastic whereas in monopoly market it is
relatively inelastic. In this market condition, elasticity of demand is in between
the two. That is, in this market demand is highly elastic but not perfectly elastic.
Thus, the characteristics of a monopolistically competitive market are exactly the same as
in perfect competition, with the exception of the heterogeneous products. This gives the
company a certain amount of influence over the market; it can raise its prices without
losing all the customers, owing to brand loyalty. This means its demand curve is
downwards sloping, in contrast to perfect competition.
4.5.2 Price and Output Determination under Monopolistic Competition.
The market of an individual firm under pure competition is completely merged
with the general one; it can sell any amount of the good at the ruling market price. But,
under monopolistic competition, individual firm’s market is isolated to a certain degree
from those of its rivals with the result that its sales are limited and depend upon price,
the nature of its product and the sales promotion outlay it makes. Thus, the firm under
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monopolistic competition has to confront a more complicated problem than the purely
competitive firm. Equilibrium of an individual firm under monopolistic competition
involves equilibrium in three respects, that is, in regard to the price, the nature of the
product, and the amount of advertising outlay it should make.
Firstly, a firm under monopolistic competition has to decide about its price policy.
What price should it charge for its product? Because of the attachment of some
consumers to its particular brand or the product, it has some monopolistic influence over
the price of its product. If it raises the price of its product a little, it may lose many of its
customers but not all. On the other hand, if it reduces its price, it may attract more
customers of his rivals. Therefore, the demand curve confronting a firm under
monopolistic competition is not a horizontal straight line, but a downward sloping curve.
If it sets a higher price, it will be able to sell less; if it sets a lower price it will be able to
sell more. The firm will choose that price-output combination which yields maximum
total profits.
Secondly, the firm will try to adjust its product so as to confirm more to the
expectation of the buyers. The variation of the product may refer to an alteration in the
quality of the product itself, a new design, better materials, it may mean new package or
container, it may also mean more prompt or courteous service, a different way of doing
business, or perhaps a different location. The amount of the product, which a firm will be
able to sell in the market, depends in part upon the manner in which its product differs
from others. “Where the possibility of differentiation exists, sales depend upon the skill
with which the good is distinguished from others and made to appeal to a particular group
of buyers”. The profit maximisation principle applies to the choice of the nature of the
product as to its price.
Thirdly, a seller under monopolistic competition can influence the volume of his
sales by varying the amount of expenditure on sales promotion. The expenditure incurred
on advertisement is prominent among the various types of sales promotion expenditure.
The selling outlay changes the demand for his product as well as his cost. Like the
adjustment of price and product, a firm under monopolistic competition has to adjust the
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amount of his expenditure on sales promotion in such a way as to maximize his total
profit. The problem of adjusting his selling outlay is unique to the monopolistic
competition.
The demand curve for the products of an individual firm, as explained above, is
downward sloping. Since the various firms under monopolistic competition produce
products which are close substitutes of each other. The elasticity of demand curve for any
of them depends upon the availability of the competing substitutes and their prices.
Therefore equilibrium adjustment of an individual firm cannot be explained in isolation
to the general field of which it is a part. However, for the sake of simplicity in analysis,
conditions regarding availability of substitute products and their prices are assumed to be
constant while the equilibrium adjustment of an individual firm is considered in isolation.
With the assumptions, an individual firms equilibrium/production level and price
adjustment could be explained with the help of the figure 4.4.
Figure 4.4. Equilibrium of a Firm Under Monopolistic Competition
AR and MR are average and marginal revenue curves respectively. When the average
revenue slopes down ward marginal revenue will also decline but at the faster rate than
the former. AR or demand curve for an individual firm under monopolistic competition is
almost similar to that in the monopoly market condition but the only difference is that the
AR curve under the former is bit flatter than that in the latter. It means the elasticity of
demand is more in monopolist competitive market compared to the Monopoly market. In
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this figure Marginal cost curve (MC) intersects the Marginal Revenue (MR) at point E.
The firm, therefore, produces the OM level of output in order to earn maximum possible
profit. When it produces the OM level of output it could sell it at the MQ (OP) price. At
this level of output Average Cost (MS) is less than the Average Revenue (MQ). Thus,
could earn SQ amount of profit per unit. The shaded area RSPQ, therefore, indicates the
total profit level at this level of output.
4.6. OLIGOPOLY
Oligopoly is a market condition, which is most prevalent in majority of the
industrial countries. It is often referred to as “competition among the few”. This is a
market situation where few sellers involved in selling homogeneous or differentiated
products. If products of few sellers are homogeneous, then market referred to as pure
oligopoly. Where as if products of few sellers are differentiated, then market referred to
as differentiated oligopoly. Some important features of this market condition are
discussed under the following section.
4.6.1 Features of Oligopoly
Few sellers: Oligopoly is a market situation in which the number of sellers
dealing in homogeneous or differentiated product is very small.
Interdependency: In perfect competition, monopoly and monopolistic competition
each firm is more or less independent of the other, although each is dependent on
the market. But unique feature of the oligopoly market is that the policy of every
producer directly affects each other due to few number of firm and close
substitutability of the goods.
Advertisement: Advertising and selling costs have strategic importance to
oligopoly firm. Each firm tries to attract the consumers towards its product by
increasing expenditure on the advertisement.
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Uncertainty: Lack of certainty is another important feature of oligopoly market
condition. Under this market condition it is difficult to analyse the effect of price
change initiated by a firm on its own sales due to uncertain reaction by his rivals.
High Cross Elasticity of Demand: The firms under oligopoly have a high degree
of cross elasticity of demand for their products. There will be always the fear of
retaliation by rivals.
Nature of Demand Curve: Due to inter dependency the nature of demand curve is
unique under this market condition. According to Paul Sweezy, firms in an
oligopoly market have a kinked demand curve.
4.6.2: Price and Output Determination under Oligopoly Market:
No unique pattern of pricing behavior exists in the oligopoly market due to
interdependency among the firms. Broadly there are three types of pricing behavior viz.
Independent pricing, cartels and price leadership. Independent pricing refers to the
independent action of each seller within an oligopoly industry. Under independent pricing
behavior each and every firms try to maximize their profit. Since each firm trying to
maximize their profit it create rivalry among the firms. Such an independent pricing
behavior may result in price war or price rigidity.
4.6.2.1 Price War:
Price war may start when one seller reduces the price of his product line in order
to increase his sales. His rival apprehending a reduction in their sales retaliate and each
tries to undercut the others. Price war harms all the firms in the industry. Thus gradually
all the firms understand the futility of the price war and desire for the price stability. Such
desire gradually leads to price rigidity.
4.6.2.2. Price Rigidity/Kinked Demand Curve:
Oligopoly price that remains stable over a period of time are called rigid price.
Price rigidity is also popularly known as Sweezy Model. Because this model was
developed in the late 1930s by the American Paul Sweezy. The theory aims to explain the
price rigidity that is often found in oligopolistic markets. It assumes that if an oligopolist
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raises its price its rival will not follow suit, as keeping their prices constant will lead to an
increase in market share. The firm that increased its price will find that revenue falls by a
proportionately large amount, making this part of the demand curve relatively elastic
(flatter). Conversely if an oligopolist lowers its price, its rivals will be forced to follow
suit to prevent a loss of market share. Lowering price will lead to a very small change in
revenue, making this part of the demand curve relatively inelastic (steeper).
The firm then has no incentive to change its price, as it will lead to a decrease in
the firm's revenue. This causes the demand curve to kink around the present market price.
Prices will further stabilize, as the firm will absorb changes in its costs as can be seen in
the figure 4.5.
Figure 4.5. Kinked Demand Curve
In this figure let us assume that the original price is OP. If the firm increases its
price its rivals will not follow hence its demand cure become more elastic i.e. it will
become R1E.On the other hand it decreases its price rivals will follow it thus its demand
curve become inelastic i.e. it becomes ED. Therefore, demand curve is kinked at point E.
There is discontinuity in Marginal Revenue curve at the corresponding position i.e A to
B. The marginal revenue jumps (vertical discontinuity) at the quantity where the demand
curve kinks, the marginal cost could change greatly - e.g., MC0 to MC1 (between prices a
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and b)- and the profit. In the light of this, the price rigidity could be attributed to the
following reasons
Individual sellers may understand the futility of price war and thus prefer price
stability
They may be content with the current price, output and profits and avoid any kind
of unnecessary insecurity and uncertainty.
The firms may intensify their sales promotion efforts at the current price instead
of reducing it. They may view non-price competition better than price rivalry.
After spending lot of money on the advertisement a seller may not like to raise the
price of his products to deprive himself of the fruits of his hard labour.
Ultimately, It is the kinked demand curve, which is responsible for the price
rigidity.
4.6.2.3. Cartel
Under oligopoly market condition firms may, gradually, form the cartels. A cartel
is an association of independent firms within the same industry. The purpose formulation
of cartel is to increase the profit level of the member firms by subjecting their
competitive tendency to some form of agreement. The cartels, normally, follow common
policies relating to prices, sales and profit. These cartels may be voluntary, compulsory,
opened or even it may be secrete depending upon the policy of the government relating to
cartels. There are mainly two types of cartels. 1) Perfect cartels or Joint profit
maximisation 2) Market sharing cartel. Perfect cartel is an extreme form of perfect
collusion. In this, firms producing a homogeneous products form a centralised cartel
board in the industry. The individual firms surrender their price output decisions to this
central board. Whereas in the market sharing cartel the firms enter into market sharing
agreement to form a cartel but keep a considerable degree of freedom relating to price
and output decisions.
4.6.2.4 Price Leadership
It is an imperfect collusion among the firms in the oligopoly market. It is a system
under which all the firms of an oligopoly industry follow the lead of one of the big firm
(Leader). There will be tactics agreement among the firms to sell the products at a price
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set by the leader of the industry. Some times there may be formal meetings and definite
agreement with the leader firm. Under this system leader initiate the price change and
then follower firm accepts the price change and make corresponding output adjustments.
4.7 RICING POLICIES
The previous sections of this chapter mainly dealt with the theoretical framework
for the pricing decisions. In this section an attempt has been made to explain how firms in
the real world set the prices. Pricing policies and methods in practice is focused in this
section. Formulating price policies and setting the price are the most important aspects of
managerial decision-making. Price, in fact, is the source of revenue, which the firm seeks
to maximize. Again, it is the most important device a firm can use to expand its market. If
the price is set too high, a seller may price himself out of the market. If it is too low, his
income may not cover costs, or at best, fall short of what it could be. However, setting
prices is a complex problem and there is no clear-cut formula for doing so. Whether to set
a low price or a high price would depend upon a number of factors and wide variety of
conditions.
4.7.1 Factors Involved in Pricing Policy
In economic theory, only two parties are generally emphasized, i.e., buyers and
sellers. In practice however, as pointed out by Oxenfeldt, certain other parties are also
involved in the pricing process. i.e., rival sellers, potential rivals, middle men and
government. All these parties also exercise their influence in price determination. Certain
general considerations, which must be kept in view while formulating the pricing policy,
are given below:
Market Structure: Pricing policy is to be set in the light of competitive situation in the
market. If the firm is operating under perfect competition it acts only as price taker
and there is hardly any choice left. The firm has a pricing problem, when there is
imperfect or monopolistic competition. Under monopoly the firm is a price maker. It
has to set its own price policy. Usually, a manufacturing firm today operates under
imperfectly competitive market condition, and hence it has to set its own price policy,
as may be feasible.
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Costs: Cost is an important element in price determination. Cost data serve as the
base. If price is below the cost of production it would mean losses. Thus, cost analysis
is important. Along with the total costs, average and marginal costs are to be
determined. For business decisions in the short run, direct or variable costs have
greater relevance. The firms seek to cover full-allocated costs. Economy in cost is
also important for setting a lower price for the product. A high cost of production
obviously calls for a higher price.
Demand: In pricing policy, demand can never be overlooked. Rather, demand is more
important for the effective sales. Demand for a firm’s product depends on consumer’s
preferences. So, the consumer psychology is very important. Through appropriate
advertising and sales campaign consumers’ psychology can be influenced and their
preferences may be altered. Thus demand can be manipulated. A low or high price
policy is to be set considering the elasticity of demand. If demand for the product is
highly inelastic, then only rising price policy would be a paying proposition to the
businessman. Further, in all cases demand is not price elastic. In some cases,
especially, consumer durables, i.e., TV set, car, etc. demand is income elastic. Thus,
when income of the buyers rises, the firm can expect to sell more such goods even at
high prices. In case of elastic demand for the goods, a price cut would be beneficial in
boosting the sale.
Profit: In determining price policy, profit consideration is also significant. In practice,
however, rarely there is a goal of profit maximization. Usually, pricing policy is
based on the goal of obtaining a reasonable profit. Further, most of the businessmen
would prefer to hold constant price for their products rather than going for a price rise
or a price cut, as far as possible. Thus, price rigidity may be the norm of the price
policy. But, rigidity does not mean inflexibility. Price fluctuations do conform to cost
changes.
Objectives of business: Pricing is not an end in itself but a means to an end. The
fundamental guides to pricing, therefore, are the firm’s overall objective. The
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broadest of these is survival. Very often companies fix a target rate of profit. Whether
the company will be able to achieve the target rate of profit, will depend upon the
forces of competition. The various objectives may not always be compatible and
hence the need for their reconciliation. A pricing policy should never be established
without full consideration as to its impact on the other policies and practices of the
firm.
Product and Promotional Policies: Pricing is only one aspect of market strategy and a
firm must consider it together with its product and promotional policies. The quality
of the product, sales promotion programmes and other such elements have to be
considered while formulating the pricing policies.
Nature of Price Sensitivity: Businessman often tends to exaggerate the importance of
price sensitivity and ignore the many identifiable factors at work, which tend to
minimize it. The various factors which may generate insensitivity to price changes are
variation in the effectiveness of marketing effort, nature of the product, importance of
service after sales which have to be taken into account while formulating the pricing
policies.
Conflicting Interests of Manufacturers and Middlemen. The interests of
manufacturers and middlemen through whom the former often sell are sometimes in
conflict. For instance, the manufacturer would desire that the middleman should sell
his product at a minimum mark-up, whereas the middleman would like his margin to
be large enough to stimulate him push up the product.
Government Policy: Pricing policy of a firm is also affected by the government
policy. If the government resorts to price control, the firm has to adopt the price as
per the formula and ceiling prescribed by the Government, then there is little scope to
pursue its own pricing. For instance, in India we have drug price control, etc
4.7.2. Objectives of Pricing Policy
Pricing is not an end in itself. Pricing is a means to an end. Therefore, the firm
must explicitly lay down its pricing objectives. The firm’s overall objectives serve as
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guiding principle to pricing. Thus, firm’s business objectives are normally spelled out as
the objectives of its price policy. Empirical evidences reflect that theoretical goal of profit
maximization is rarely taken in practice by the business firms in their price policy. The
following are the commonly adopted major pricing objectives of a business firm:
Survival: basically, in these days of monopolistic competition or dynamic
changes and business uncertainties, a firm is always interested in its continued
survival. For the sake of assuring continued existence, generally, a firm is
ready to tolerate all kinds of upheaval in product lines, organizational and
even personnel changes. Thus a firm may pursue the promotion of the long-
range welfare of the firm
Rate of Growth and Sales Maximization: A firm may be interested in setting a
price policy, which will permit a rapid expansion of the firm’s business and its
sales maximization.
Market Shares: By adopting a price policy the firm may wish to capture a
larger share in the market and acquire a dominating leadership position.
Maximization of profits for the entire product line: As Kotler has pointed out,
firms set price, which would enhance the profit from the entire product line
rather than yield a profit on one product only.
Preventing Competition: In pricing its product, the firm may keep an eye on
rival’s entry. So, it may fix up the price such that would prevent competition.
Market Penetration: Here, relatively low price may be set to stimulate market
growth and capture a large share thereof.
Market Skimming: Here, high initial price is charged to take advantage of the
fact that some buyers are willing to pay a much higher price than others as the
product has high value to them.
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Early Cash Recovery: Some firms try to set a price, which will enable rapid
cash recovery as they may be financially tight or may regard future as too
uncertain to justify patient cash recovery.
4.7.3 Pricing Methods In Practice
In the real world most of the business organisaitons are operating their business under
imperfect competitive condition. Thus it is the fundamental duties of the firms to fix the
suitable price for their products in such a way as to fulfill the overall objective of their
organization. Numbers of pricing methods have evolved over the period. There is no
clear-cut criterion to select a particular pricing method. But any business organization
will adopt the pricing method, which suits their objectives. Some of the important pricing
methods that are being practically adopted by one or the other firm are discussed below:
4.7.3.1. Cost-Plus or Full-Cost Pricing
Under this method, the price is set to cover costs and a predetermined percentage of
profit. The profit percentage will be determined on the basis of intensity of competition in
the market, rate of returns, cost base, risk etc. naturally the profit percentage differs
among industries, among member firms. Full cost pricing method is being very widely
adopted by the firms. This is mainly because;
Full-cost pricing offers a means by which fair and plausible prices can be found
with ease and speed, no matter how many products the firm handles.
Firms preferring stability use full cost as a guide to pricing in an uncertain market
where knowledge is incomplete.
In practice, firms are uncertain about the shape of their demand curve and about
the probable response to any price change. This makes it too risky to move away
from full-cost pricing
A major uncertainty in setting a price is the unknown reaction of rivals to that
price. When products and production process are similar, cost-plus pricing yield
acceptable profit to most other member so the industry also. Uncertainty could be
minimized to some extent.
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Limitations of Full Cost Pricing Method
Though it is relatively easy to adopt this method of pricing it is having certain limitations.
Most important limitations of this method are;
It ignores demand – it does not care for what people prepared to pay.
It does not reflect market forces.
Full cost pricing ignores marginal or incremental costs and uses average costs
instead.
4.7.3.2. Rate of Return Pricing
In this method the firms determine the average profit mark-up on costs necessary
to produce a desired rate of return on its investments say, for instance, a firm may set its
price of the product in order to get on an average a 8 per cent return on net investment.
Under the rate of return pricing policy, price is determined along a planned rate of return
on investment. The rate of return is to be translated into a percent mark-up as profit
margin on cost. The profit margin is determined on the basis of normal rate of
production. Rate of return pricing is a refined method of full cost pricing. Thus, pricing is
based on cost, which may not relevant to the pricing decision. Naturally, it has the same
inadequacy as the full cost pricing method.
4.7.3.3. Marginal Cost Pricing
Pricing methods discussed above are based on the total cost of production. Under
this method price is to be fixed based on the marginal cost of production. Marginal cost is
the addition made to total cost by producing an additional unit of output. It is the cost of
producing ONE extra unit of production. Under the marginal cost pricing, as per the
accounting approach, fixed cost considered to be ignored and prices are determined on
the basis of marginal cost. It is most appropriate method in the industries where fixed cost
is relatively high. It Allows variable pricing structure – e.g. on a flight from London to
New York – providing the cost of the extra passenger is covered, the price could be
varied a good deal to attract customers and fill the aircraft. Thus, it allows flexibility in
pricing.
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It could be explained with a numerical example. In Aircraft flying from Bristol to
Edinburgh – Total Cost (including normal profit) = £15,000 of which £13,000 is fixed
cost. Number of seats = 160, average price = £93.75. MC of each passenger = 2000/160 =
£12.50. If flight not full, better to offer last passengers chance of flying at £12.50 and fill
the seat than to fly with empty seats. In such situation Marginal cost pricing method is
suitable.
4.7.3.4. Going Rate Pricing.
Going rate-pricing policy found to be a rational method where it is difficult to
estimate the different cost of production. Under this method firms adjust its own price
policy to the general pricing structure in the industry. Going rate reflects the collective
wisdom of the industry. It is a kind of price leadership. Where price leadership is well
established, charging according to what competitors are charging may be the only safe
policy. In case of price leader, rivals have difficulty in competing on price – too high and
they lose market share, too low and the price leader would match price and force smaller
rivals out of market. Where competition is limited, ‘going rate’ pricing may be applicable
– banks, petrol, supermarkets, electrical goods – find very similar prices in all outlets
It must be noted that going rate pricing is not quite the same as accepting the price
impersonally set by near perfect market. Rather it would seem that the firm has some
power to set its own price and could be a price maker if it chooses to face all the
consequences. It prefers, however, to take the safe course and confirm to the policy of
others.
4.7.3.5. Penetration Price.
It is a method under which relatively low price is set in order to penetrate into the
new market. Thus, it is the Price set to ‘penetrate the market’ and ‘Low’ price to secure
high volumes. While introducing new products or entering in new geographical market,
firms may set relatively lower price in the hope of penetrating into the market. The idea is
to establish a market share first and than gradually move to a price which is more
desirable from the profit angle. This method is generally suitable to the new products or
to launch the product into a new market. It is typical in mass-market products. However,
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this strategy works well provided the demand is highly price elastic and the nature of the
product differentiation is such that many customers are in a position to get attracted by
low price.
4.7.3.6. Skimming Price.
It is a pricing method under which the firm starts with a high price appealing to
those customers who are willing to pay higher price for better quality or because they put
some additional value on the products. However, at the latter stage a slightly falling price
may attract the new customers. Each successive fall in price may bring in more and more
customers. But there is danger in letting the price to fall beyond a point because of the
perceived correlation between price and quality. This method is suitable for products that
have short life cycles or which will face competition at some point in the future (e.g. after
a patent runs out). Examples include: Play station, jewellery, digital technology, new
DVDs, etc
4.7.3.7. Administered Price.
Administered price is the price, which is fixed by the government and is
mandatory in character. In this method government fix the price for the products, which
should be strictly followed by the producers. However, while fixing the price the
government will consider the cost of production and also fair returns to the producer. The
rationality behind this method is that the essential commodities have to be made available
to the people at reasonable price. The price should not be prohibitive. If they become
monopoly products, the producers may charge heavy price, which prevents the weaker
section to purchase them. In such situation it is the duty of the government to make
products available at fairly reasonable price to the consumers.
Public utility concerns are managed by the government with the objective of
providing services to the people at reasonable price. Even in case of essential
commodities produced in private sector, the government intervenes and fixes the price at
which the producers sell those products. The major limitation of this method of pricing
does not allow the free play of market forces like supply and demand. Due to the
liberalised economic policy, this pricing method is loosing the importance.
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4.7.3.8. Loss-Leader Pricing.
It is method under which goods/services deliberately sold below cost to encourage
sales of the other products. A firm selling both razor and blade may charge the price of
razor, which is below the average variable cost if it is confident of selling a large volume
of the blades in order to over compensates the loss in the razor. Because of the loss
making product, customers are induced into buying other complimentary items in the line
and the whole set becomes profitable. It is typical in supermarkets, e.g. at Christmas,
selling bottles of Gin at £3 in the hope that people will be attracted to the store and buy
other things. Such a pricing strategy is suitable even in the capital goods with heavy
requirement of the replacement parts and consumables.
4.7.3.9. Discriminating Price.
In this method, the same product will have different price in different market
segments. In other words firms charging a different price for the same good/service in
different markets. Best example for this method is electric Power. Electricity board will
charge different price to the same power to different power users like agriculturists,
industrial units, domestic users, commercial users etc. However, its adoption requires
each market to be impenetrable. Requires different price elasticity of demand in each
market
Thus, there are many different pricing methods, which are being practically
adopted by one or the other kind of firms. However, while choosing a particular pricing
method a firm has to carefully analyse which method is suitable in perusing its
objectives.
4.8. Self Review Questions
1. What is market? How markets are classified?
2. Distinguish monopoly and monopsony
3. Define oligopoly
4. What is penetrating price? When this pricing strategy is suitable?
5. Define discriminating price? What are the conditions required to adopt this policy?
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6. What is kinked demand curve? Explain the reasons for kinked demand curve
7. Explain the features of monopolistic competition
8. Describe the price and output determination under perfect competitive market
9. Explain the pricing problems in oligopoly market condition
10. Discuss the factors involved in pricing policies
11. Explain the different pricing methods that are being practically followed by the
business organistions.
4.9. References/ Suggested Readings
1. Mote, V. L., Samuel Paul, Gupta,G. S: “ Managerial Economics: Concepts and
Cases”, Tata McGraw-Hill Publishing Company Limited, New Delhi
2. D.M.Mithani : “Managerial Economics: Theory and Applications”, Himalaya
Publishing House, Mumbai-400 004
3. Reddy,P. N. and Appanniah, H. R. : “Principles of Business Economics”, S.Chand &
Company Ltd. New Delhi-110 055
4. Dominick Salvatore: “Managerial Economics”, McGraw-Hill International Editions,
Singapore
5. Ahuja, H. L.: “Advanced Economic Theory”, S.Chand & Company Ltd. New Delhi-
110 055
6. Varshney RL, and Maheshwari K.L: “Managerial Economics”, Sultan Chand & Sons,
New Delhi-110002
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MODULE-V: PROFIT ANALYSIS
Profit is one of the main motives behind any kind of business activities.
Management students need to have proper understanding about the concept and
measurement of profit. So, this chapter focuses on the concept of profit. This module
deals with the break-even analysis also. The understanding of this tool equips the
management students in the profit planning of a firm. The last section of this module
deals with linear programming approach, which is most useful in optimization decisions.
5.1 Meaning and Nature of Profit
In economic theory, profits are payments for the work of the entrepreneur, as he is
a factor of production like other factors. But this concept of profit has become a vexed
and mixed one. Though profit is an income for the entrepreneur for his work, he is
getting the income called profits. Profits have been defined, as wages of management or
it is the reward for entrepreneur. It is also a reward for ownership of capital. Since the
entrepreneur gets his income in a variety of ways, profits have become a mixed income.
It is also a vexed one, as there is no unanimity among economists about the definition.
That is why; Prof. Knight has observed “no term or concept in economic discussion is
used with a more bewildering variety of well-established meaning than profit”. Profit is
the percentage of return on investment; it is the reward for taking risk in business. It is a
residual income for the entrepreneur after paying off other factors. It is the difference
between the total sale proceeds obtained and the total expense of production. Thus the
term profit has been interpreted in a variety of ways.
Profits when compared to other rewards of factors, is vitally important, as it is the
reward for the entrepreneur who undertakes the work of coordination of the factors and
produces the commodity. In the absence of profits, there would not be incentive for
production and profits act as a source of capital formation and economic progress.
However, Karl Marx has condemned profits as predatory income, branding it as legal
robbery. Contrary to it Joel Dean is of the opinion that “A business firm is an
organization designed to make profits, and profits are the primary measure of its
success.” and this brings the importance of profit in the context of managerial decisions.
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Theoretically, the definition of profit is that the reward for the entrepreneur is
acceptable, as he brings the three factors of production together for producing some
consumable commodity. But in the case of Modern Corporation, or the Joint-stock
Company, who should be identified as the entrepreneur? Is it the equity shareholders who
undertake the risk of investing their money, or the salaried managers who undertake
entrepreneurial functions? Vera Anstey believes that the term should cover both these
groups. Profit is the result of variety of influences in a business. As a result, many
theories of profits are emerged.
For the better understanding of the concept of profit one should understand the
difference between ‘profiteering’ and profit earning. The term ‘Profiteering’ is different
from ‘Profit-earning’. The former connotes “earnings which are excessive and beyond
the socially desirable and acceptable limit by questionable methods”. Profit earning, on
the other hand denotes making profits within socially desirable and acceptable limit.
Profiteering is a deliberate attempt to earn extra profits at the cost of even business ethics.
Hoarding is one prominent way of profiteering. Profiteering is socially unjust.
Similarly one should have the better understanding about the difference between
‘accounting’ and ‘economic profit’. There is a wide difference between profit in the
accounting sense and profit in the economic sense. In the accounting sense, profit is
regarded as the revenue realized during the period minus the cost and expenses incurred
in producing the revenue. This concept of profit is also known as Residual Concept. The
economists, however, do not agree with the accountant’s approach to profit. Economists
consider both explicit and implicit costs in arriving at profits. They deduct both explicit
and implicit costs from the total sales receipts in determining profits. According to
Accountants, the money-cost of producing an article includes only those costs which are
directly paid out or accounted for by the producer. These are wages, interest, rent,
depreciation charges on fixed capital, taxes paid and other sundry expenses. These items
together constitute Explicit costs of production. Economists think that in addition to
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these, there are other items, which ought to be included in the term, money-cost of
production. These are as follows:
Wages for the work performed by the entrepreneur;
Interest on capital supplied by him;
Rent on land and buildings belonging to him and used in productions;
Such profits are considered usual or normal in the line of business.
Economists call them implicit cost of production. Accountants do not include these items
in determining profit. They deduct only explicit or actual costs from the total revenue
earned while determining the profits.
Economic cost = Explicit Cost + Implicit Costs
Or
Economic Costs = Accounting Cost + Implicit Costs.
The firm will be earning Economic Profits only if it is making revenue in excess of the
total of accounting and implicit costs. Thus, when the firm is in no profit and no loss
position, it means that the firm is making revenue equal to the total of accounting and
implicit costs and no more. Therefore;
Economic Profit = Total Revenue – Economic Costs.
Economic profits are relevant from the managerial point of view, as they truly reflect the
profitability of a business concern. A business firm may be making profits in the
accounting sense; but it may be actually incurring losses in the economic sense. Such a
firm will not survive in the long run. Hence, economic profits are more useful than the
accounting profits, for managerial purposes.
Functional Role of Business Profits: According to Prof. Peter Ducker, business profits
play a functional role in three different ways.
They indicate the effectiveness of business efforts: The success or effectiveness of
the business is indicated through the profit it earns. Higher the profit of concern,
we generally consider that the business is more successful. Even though it may be
argued that profit is not a perfect measure of business efficiency, it is an easy and
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quick basis on which business performance can be compare among the various
firms.
They provide the premium to cover costs of staying in business: Profit is a source
of funds from which a business firm will be able to defray certain expenses like
replacement, obsolescence, marketing, etc. Business firms must generate profits
sufficient to provide for these costs.
They ensure supply of future capital: Profits are the principal source for a firm’s
future capital requirements for innovation and expansion. Business concerns help
themselves by generating profits in meeting part of their capital requirement apart
from raising funds through extraneous sources.
5.2 Theories of Profit
There are several theories of profit propounded by economists. None of these deal
with all aspects of profit. Each theory focuses on the different aspects of profit. We shall
study some of the theories of profit.
5.2.1. Hawley’s Risk Theory
An American economist Hawley advocated this theory. According to him, profits
arise because the entrepreneur undertakes the risk of the business and he has to be
rewarded for that. As per this theory, higher the risk, greater is the possibility of profit.
But this theory is criticized on the following grounds:
There is no relationship between risk and profit.
Insurable risks are no risk at all. Only uninsurable risks are real risks.
Profit is the result of not only risk bearing, but also due to other factors.
5.2.2 Knight’s Uncertainty-bearing Theory
This theory, advocated by Prof. Knight, agrees with Hawley’s theory that profit is
a reward for risk-taking. However, the term risk is clarified and there are two types of
risks: a) Foreseeable risks; and b) Unforeseeably risks. The latter risk is called
uncertainty bearing. If risk can be insured against, it is not risk at all. For instance, fire,
flood, theft, etc., are risks in business, which can be insured, and the loss arising out of
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these will be made good by the insurance company. The premium paid for insurance is
included in the cost of production. Insurable risk, thus, does not give rise to profit. So,
according to Prof. Knight, profit is due to non-insurable risk or unforeseen risk. Some of
the non-insurable risks:
Competitive risk;
Technical risk;
Risk of government’s intervention; and
Risk arising out of business cycle.
Since, these risks cannot be foreseen and measured, they become non-insurable
and uncertainties have to be borne by the entrepreneur. According to this theory, there is
a direct relationship between profit and uncertainty bearing.
Knight’s theory is criticized on the following grounds:
If profits are due to uncertainty bearing, what explanation could be given in cases
where profits do not accrue in spite of uncertainty bearing.
Uncertainty bearing is one of the determinants of profit, and that is not the only
determinant.
The theory emphasizes too much about uncertainty-bearing as to elevate it into a
separate factor of production
This theory does not separate the two functions in modern business, namely
ownership and control
The theory does not explain monopoly profit. How do profits arise, when there is
no question of uncertainty bearing in monopoly?
It is not possible to measure uncertainty in quantitative terms to ascribe profit.
5.2.3. Dynamic Theory of Profit
This theory advocated by J.B. Clark assumes that profits arise as a ‘Dynamic
Surplus’. According to this theory, in a static state, there is no change in demand and
supply and profits do not arise. This is because; under static conditions payments made to
the factors of production on the basis of marginal productivity exhaust the total output. In
this condition, in equilibrium, price of each commodity exactly equals its money cost of
production, including normal profits and there is no surplus of any kind. Profits result
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only when selling prices of goods exceed their cost of production. Therefore, in a static
state, there are no possibilities of getting profit and it arises only in dynamic condition. It
is a dynamic surplus. Profits arise due to disequilibria caused by the changes in demand
and supply conditions. Now, the question arises what Clark mentions about five changes,
which may occur in a dynamic economy to give rise to profits.
Changes in the quantity and quality of human wants
Changes in the methods and techniques of production
Changes in the amount of capital
Changes in the form of business organization
Changes in population
Such changes give some entrepreneurs advantages over other entrepreneurs and
they manage to earn surplus. This theory is criticized as follows:
This theory does not fully appreciate the nature of entrepreneurial functions. If
there are no profits in a static state, it means there is no entrepreneur. But without
an entrepreneur, it is not possible to imagine the coordination of factors of
production. Hence, Marshall solved this difficulty by his concept of normal
profit, which is earned in a static state also.
Mere change in an economy would not give rise to profits, if these changes were
predictable.
This theory has created an artificial distinction between ‘Profit’ and ‘Wages of
Management’.
5.2.4. Schumpeter’s Innovation Theory
This theory propounded by Schumpeter is more or less similar to Clark’s theory;
but this theory gives importance to innovations in the productive process. According to
this theory, profit is the reward for innovation. Innovations refer to all these changes in
the production process with an objective of reducing the cost of the commodity, so as to
create a gap between the existing price of the commodity and its new cost. Schumpeter’s
innovation may take any shape. It may be the result of introduction of a new technique or
a new plant, a change in the internal structure or organizational set up of the firm. It may
be a change in the quality of the raw material, a new form of energy, better method of
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salesmanship, etc. “Innovation is much more than invention. Invention is not innovation,
if it is stillborn, that is, if it is not used. An invention becomes an innovation only when it
is applied to industrial progress.” Innovation is brought about mainly for reducing the
cost of production and it is a cost reducing agent. Innovations are not possible by all
entrepreneurs. Only exceptional entrepreneurs with extraordinary abilities can innovate
and create opportunities through their imagination and bold action. Profit is the reward
for this strategic role. Further, according to Schumpeter, profits are of temporary nature.
The pioneer, who innovates, gets abnormal profits for a short period. Soon other
entrepreneurs swarm in clusters and compete for profit in the same manner. So, the
pioneer will make another innovation. Thus profit will appear and disappear and again
reappear. Profits are caused by innovation and disappear by imitation. The theory is
criticized on the following grounds:
Innovation is only one of the many functions of the entrepreneur and not the only
function.
It does not recognize the risk-taking functions of the entrepreneur. Now
innovations bear the element of uncertainty and risks.
Monopoly profits are permanent in nature while Schumpeter attributes the quality
of temporaries to profits.
5.2.5. Marginal Productivity Theory of Profit
The theory of marginal productivity is also applied in the case of profit.
According to Prof. Chapman, profits are equal to the marginal worth of the entrepreneur
and are determined by the marginal productivity of the entrepreneur. When the marginal
productivity is high, profits will also be high. But, the fundamental difficulty in this
theory is in measuring increasing or decreasing the units of factors can assess the
marginal productivity. In entrepreneurial function, it is not possible, as a firm will have
only one entrepreneur. To assume that all entrepreneurs are alike is highly unrealistic.
Thus theories of profits have become highly controversial and least satisfactory.
Managerial economics, though it makes use of the assumptions of profit
maximization, makes little direct use of the theories of profits. There is no single theory
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giving satisfactory explanation regarding profit. According to Briggs and Jordan, “It is
difficult to frame a simple theory of profits which would include the small independent
trader, the large employer, the small holder, and the shareholder, of a Joint-Stock
Company, whilst excluding responsible managers.” However, though none of these
theories is a correct explanation of profits, they are in sense complementary theories. It is
possible that monopoly, uncertainty and innovations are factors of vital importance, as
they affect profit-earning capacity of the firm. Hence, knowledge of these theories helps
businessmen in formulation of their profit policies.
5.3. Measurement of Profit
The measurement of the amount of profit earned by a business firm during a given
period, is not so simple as it may appear. Even in the accounting sense, measurement of
profit is not an easy task. Several practical difficulties are involved here. Some of them
arise out of conceptual differences with reference to costs, income, valuation of assets;
some differences arise due to the definition of profits by accountants and economists and
also due to financial accounting conventions, and legal requirements. In particular, the
problem arises in the question ‘what is included in the costs to be subtracted from
revenues to obtain profits, remains the crux of the problem’. There is wide variety of
generally accepted accounting principles, which provide for different methods of
treatment for certain items of revenuer of expenditure. The following methods are
generally considered while measuring profits; they are:
Depreciation Valuation of Stock Treatment of deferred expenses Capital gains and losses
5.3.1. Depreciation
We know that in every business, equipment, machines and building are used and
they wear out over a period due to frequent use. In course of time, these assets become
useless from the point of view of business and they have only scrap value. The use-value
of the assets of the firm goes on diminishing due to wear and tear. In due course their
value from the viewpoint of business declines. Therefore, to measure true income of the
business, accountants make periodic charges to income to recover the cost of equipment
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before its usefulness is exhausted. This charge is known as depreciation which represents
the decrease in the value of the assets due to use during a particular period, say a year.
This provision for depreciation charges will not be uniform in all firms. It varies in
importance from company to company. In the case of heavy industries like iron and steel,
railways, transport, etc., very heavy depreciation charges are provided. In the case of
firms like insurance companies, banks, financial institutions, wholesale business and
retail business, etc., the depreciation charges will be relatively lower.
Methods of measuring depreciation: There are a number of methods of measuring
depreciation for the purpose of reporting business profits to the shareholders and taxable
profit to the income-tax authorities. Depreciation is an important internal source of funds
and hence the method of depreciation becomes very significant as a tool of capital
formation. There are three commonly accepted methods of depreciation; they are:
Straight Line Method
Declining Balance Method
Sum of the years digits method
We shall discuss these methods of measuring depreciation in a greater detail.
5.3.1.1. Straight Line Method:
According to this method, an asset is supposed to wear out evenly during its
normal life. Hence depreciation is provided on a uniform basis regardless of the fact that
the asset depreciates more rapidly at some stages. This is calculated by using this
formula:
Initial cost of the assetDepreciation =
Estimated life span of the asset in years
The amount of annual depreciation is obtained by dividing the initial cost of the
asset by the estimated life in years, assuming that there is no scrap value. If the asset has
an estimated scrap value its amount will have to be deducted from the initial cost before
dividing it by the estimated life in years.
Illustration: suppose that an asset has an original value of Rs.10000 with a scrap value of Rs.1000 and its life span is estimated to be 10yrs. The annual depreciation charge on the asset will be:
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Rs.10, 000 – Rs.1000 = Rs.900 10
Under the working hours method, the life span of the asset is expressed in terms of
working hours, rather than in years. In those cases, depreciation is calculated by dividing
the initial cost less scrap value by the number of working hours. Suppose that an asset has
a working life of 10000 hours and its original cost is Rs.22000 and its scrap value is Rs
2000. The depreciation per working hour will be calculated as follows:
Rs. 22000 – Rs. 2000
= Rs. 2 Per working hour1000
The straight-line method is very simple in adoption. When there are no possibilities of
premature retirement of assets due to accidents, obsolescence or inadequate capacity.
This method does not take into account the increasing cost of repairs in the later years of
the life of the asset and as a result, the total cost of operation is likely to be
disproportionate in the later years.
5.3.1.2. Declining Balance Method
Under this method, depreciation is provided on a uniform rate on the written
down value of the asset at the beginning of the year. If the cost of the asset is Rs.5000
and the rate of depreciation is 10%, the depreciation for the first year would be Rs.500. in
this case the written-down value of the asset for the next year would be Rs5000- Rs.500 =
4500 and the depreciation for the second year would be calculated at 10% for Rs.4500
which would be Rs.4500 – Rs.450 = 4050. During the third year the depreciation would
be 10% of Rs.4050, i.e., Rs.405. Thus, the depreciation amount will show a declining
trend; Rs.500 in the first year; Rs.450 in the second year; and Rs.405 in the third year.
Under this method, the written down value however small, will never be zero. Hence, the
asset is assumed to have some scrap value. The formula for determining the fixed rate of
depreciation under ‘Declining Balance Method’ is as follows:
D =100 {1-n√s/c}
Where,
D = % of depreciation
s = Scrap or residual value of the asset
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c = Initial cost of the asset
n = Estimated life of the asset in the years.
The method of computing the fixed rate of depreciation as described above is
rather complicated. A similar and more widely used method is to use a uniform %, which
is double the reciprocal of the estimated life:
Uniform rate or d = 2 (1/n)
The basic idea behind this method is to provide for a more or less uniform total cost of
operation of the asset over different years of its life. On the other hand, under this
method, depreciation is higher in earlier part of the asset’s life, but it declines
progressively in the later years. The combined effect is that the total charge in the profit
and loss account so far as the asset is concerned, is equated over different years.
5.3.1.3. The Sum of the Year’s Digits Method:
The basic idea of this method is similar to that of the Declining Balance Method,
i.e., to provide for a uniform total cost of operation of the asset. The amount of
depreciation in the beginning of the life of the asset is higher and it progressively declines
with the passage of time. This method differs from the declining balance method in that
the base or book value remains constant while the annual rate of depreciation changes.
The variable rate of depreciation is calculated as follows:
Each digit of the years of the useful life of the asset is added up and the resulting
figure is the denominator of the fraction to find out the depreciation rate.
The numerator of the fraction for each year is the expected life of the asset in that
particular year and this declines by one each year. Thus the depreciation rate is
composed of a varying numerator and an unvarying denominator. And this rate is
applied each year to the asset’s original cost.
Illustration: The sum of the Year’s digit method can be explained with the following
illustration: Suppose the original cost of the asset is Rs.12000 and its scrap value is
Rs.2000 and its expected life is 4 years. In the beginning, the asset has an expected life of
4 years; one year later it has an expected life of 3 years and so on. Thus the expected life
periods of the asset are 4,3,2 and 1 years. The sum of these expected life periods is 10,
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which will be the common denominator of the annual rates. The numerators are
respectively 4,3,2 and 1. Thus the annual rates are 4/10, 3/10, 2/10 and 1/10 respectively.
The original value of the asset is Rs. 12000 and the scrap value is assumed to be Rs.2000;
the annual depreciation charge should be made for Rs. 10000. In the first year, the rate of
depreciation is 4/10 which is 40% and the depreciation amount is Rs.4000. in the second
year the rate of depreciation is 3/10 or 30% or Rs.3000. in the third year, the rate of
depreciation is 2/10 or 20% or Rs2000 and in the fourth year, the rate of depreciation is
1/10 or 10% which is equal to Rs.1000. These data can be tabulated as shown in the table.
TABLE –5.1 The Annual Depreciation
Age of the asset in years
Rate of depreciation
Annual depreciation
Accumulated depreciation
Book value of the asset
1234
4/10 or 40%3/10 or 30%2/10 or 20%1/10 or 10%
Rs4000300020001000
Rs.40007000900010000
Rs.8000500030002000
The Declining Balance Method and the Sum of the Year’s Digit method are useful, as
well as equitable in calculating depreciation, where the cost of repairs increase as
depreciation charges decrease.
Depreciation and Profit: We studied three methods of calculating depreciation of an
asset. Under the Straight Line Method, the charge of depreciation is the same throughout
the life of the asset. As a result, the profits are affected equally throughout. Under the
Declining Balance Method, and the Sum of the Year’s Digits Method, the charge for
depreciation is higher towards the end. In view of the fact that depreciation is higher in
the initial years, both these methods are called Accelerated Depreciation Methods. As
between the two methods, the charge is higher in the firs year in the case of Declining
Balance Method than under the Sum of the Year’s Digits Method. But in other years, the
depreciation is higher under the Sum of the Year’s digits method. From this, we can
understand that the amount of profit of a firm depends on the method of depreciation
adopted. With the same machine, equipment, plant, building, etc., different firms can
show different amounts of depreciation and consequently, different amounts of profit.
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For the young and growing firm, the ‘Accelerated Depreciation method’ offers
advantages as the new companies will have limited capital and they may need funds for
expansion. Even for well-established companies with excellent credit facilities, this
method is better suited than the ‘Straight-Line Method’ if the companies are engaged in
the programme of capital expansion and replacement of assets. The advantages are as
follows:
Taxable income and income-tax liability would be substantially larger towards
later years only under the declining balance method and the sum of year’s digit
method.
Under the accelerated depreciation method, the tax liability being lower in the
earlier years of the life of the asset, the company has the benefit of retaining a part
of the funds which would have been payable as tax under the straight-line method.
These funds, in effect, amount to an interest-free loan from the Government to the
company, since the accelerated methods result only in postponement of tax rather
than its permanent avoidance.
In the case of assets subject to rapid obsolescence, it is desirable to write-off the
asset as soon as possible in this respect, accelerated methods of depreciation are
more effective than the straight-line method.
The capacity of a firm to earn profits from the use of an asset is lower in the
earlier part of the life of the asset. Consequently, the capacity to pay tax is also
lower, under the accelerated depreciation methods; the tax liability is lower in the
beginning and higher towards the end. Thus, there is an adjustment in the capacity
to pay taxes and the tax liability is adjusted with the capacity to pay.
However, there are certain restrictions about the adoption of depreciation methods
by the tax rules of different countries, and these tax rules impose constraints on the
managerial choice about depreciation method. In the U.S.A. a company can choose any
one of the three methods we studied above and the Internal Revenue Act permits this.
Other countries such as Denmark, France, Holland and Sweden have introduced
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‘Accelerated Depreciation Method’ with the object of stimulating investment. In
Australia, the Straight-Line or the Declining Balance Method may be used. In India, there
are prescribed rates of depreciation to be applied to the written down value of the asset
under the declining balance method. For general machinery and plant, the depreciation is
10%. In the case of furniture and fittings, the depreciation is 15% when used in hotels,
restaurants, cinema theaters, etc. In the case of building it is 2.5%.
5.3.2. Valuation of StockIn business, the valuation of stock will influence the profit and the method
adopted in arriving at the valuation of the stock would have decisive impact on the profit.
There are three methods viz;
LIFO (Last In First Out) Method: According to this method, it is assumed that
the units acquired last are the units to be issued first. As a result, the inventory is
supposed to consist of materials purchased earliest.
FIFO Method (First In First Out): According to this method, it is assumed that
the units of stock acquired first should be issued first, i.e., First in stock should go
out first, and stock acquired very recently will be issued only later. Under this
method, the inventory is supposed to consist of goods purchased most recently.
The significance behind this is that the company may not have acquired the stock
at the uniform price throughout. With rising prices, at the beginning, the purchase
cost would have been lesser and later it would have been larger.
Weighted Average Method: This method assumes that it is not possible to
identify separately the materials purchased at different times at different prices.
Consequently the cost of one unit cannot be distinguished from the cost of
another. Units are issued at a cost of which is an average of the cost of each
purchase, weighted by the quantity purchase at that accost. The closing stock is
valued at the average cost.
Illustration: Let us take a hypothetical case to illustrate the three methods mentioned
above in the valuation of stock. Suppose a firm purchases for its factory production 500
Kgs, of a particular chemical at different times and at different prices as stated below:
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Purchased on February 18th : 100Kgs. At Rs. 3.25 per Kg
Purchased on March 20th : 250Kgs. At Rs. 3.50 per Kg
Purchased on March 31st : 150Kgs. At Rs. 3.75 per Kg
Suppose that on April 10, the materials department issued a quantity of 250kgs, of the
chemical to the production department. How will the stock on hand be valued under
different methods?
Under FIFO method, the quantity issued to the production department will be
valued at Rs.850/- and the stock on hand with the materials department will be valued at
Rs.912.50. According to this method, the first acquired should go out first. Hence the first
100kgs, are valued at Rs.3.25 and the subsequent 150kgs, are valued at Rs.3.50, which is
the purchase price. The total value of 250kgs comes to Rs.850. the total value of the stock
before issue comes to Rs.1762.50 on the basis of above purchase price and quantity.
Hence, the value of the stock on hand after issue to the Production Department will be
Rs.912.50. Under LIFO Method, the materials issued will be valued at Rs.912.50 and the
stock will be valued at Rs.850 after issue. Under this method, recently procured materials
should be issued first (Last In First Out). Hence, the first 150kgs should be valued at
Rs.3.50 per kg. This will work out to Rs.912.50. We know that the total procurement cost
under LIFO method is Rs.912.50. so; the stock on hand comes to Rs.850.
Thus, we can see that the stock on hand after issue is valued at Rs.912.0 under
FIFO method, and the stock on hand after issue is valued at Rs.850 under LIFO method.
In other words, the valuation of stock is higher under FIFO method and lesser under
LIFO method in this particular case. Under weighted average method, the materials
issued will be valued at Rs.881.25 and the stock will also be valued at Rs.881.25. Thus, it
will be seen tat the value of the stock is different under different methods.
Valuation of Stock and Profit: The impact of the method used in determining the value
of the stock depends on the movement of prices of the commodity in question. Generally,
in an inflationary period, the LIFO method or Average method. The reason is that during
the period of inflation, the costs are high and since most recent costs are taken into
consideration under LIFO method, the profits are determined accordingly. The stock is
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values at the earlier cost, i.e., under lower cost. Under FIFO method, these lower costs
would be debited to the Profit and Loss Account; the resultant profit will, therefore, be
higher. The inventory will be valued at the higher costs, i.e., later costs. This also will
lead to higher profits. The Average method lies somewhere in between LIFO and FIFO
methods. In period of deflation. LIFO method will tend to produce higher income than
FIFO method or Average method.
Our experience after the Second World War shows that in out economy, rising
prices due to inflation have become the general trend and deflation is a remote
possibility, or almost nil. So, the businessmen find it expedient to adopt LIFO method in
the valuation of stock. As LIFO method tends to show lower profits in an inflationary
period, it tends to reduce income-tax liability. It is stated that an American manufacturer
saved nearly 19,500,000 dollars in income tax, over a period of 19 years by adoption of
the LIFO method. In times of deflation the FIFO method is more beneficial. But, the
income-tax authorities would insist on using only one particular method and it should be
adhered to consistently and a departure from the method will not be allowed.
The Income Tax Act does not lay down any specific method about the valuation
of stock. But, Section 145 provides that profits shall be computed in accordance with the
method of accounting regularly employed by the assessed. A method regularly employed
will include the method of valuation of stock also and it cannot be changed to suit the
convenience of the assessee. Prof. Joel Dean has recommended the adoption of LIFO
method and the accounting bodies of UK have also recommended the same.
5.3.3. Treatment of Deferred Expenses – Allocation of expenses over Time Periods
The firm will have intangible fixed assets and the problems come in writing off
these intangible assets during their lifetime. Intangible fixed assets can be classified into
two categories.
Those having a limited life, e.g., Copyright, Leasehold, permits, etc., and
Those having no such limited life, e.g., Trade Marks, Good-Will of the
business, Preliminary Expenses, etc.
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Businessmen prefer to write off the intangible assets having limited life before their
useful life expires. This is based on conservatism, i.e. to eliminate these intangible assets
as soon as possible. The example of this type is provided in the case of ‘Copyrights’.
Legally, copyrights have life equal to author’s life plus 50 years thereafter. But
publications may not have an active market for such a long period. It is, therefore,
considered advisable to write off the cost of copyright against the income from the first
edition. Intangible assets with no limited life pose more complicated problems for two
reasons:
There is a difference of opinion whether the assets should be written off at
all or not
If they have to be written off, what should be the period for their
amortization?
This amortization can be done either gradually or by an immediate write off. To
illustrate this point, “Good-Will” can be taken for discussion. The conservative view is
that the good will is only a fancy asset having no place in the balance sheet. But this view
cannot be fully endorsed, as in some cases; good will may ensure certain decisive
advantages to the firm. Hence, a rational view would be to write off the good will over an
appropriate period of time.
5.3.4. Capital Gains and Losses
Capital gains and losses, or “Windfalls” may be defined as “unanticipated
changes in the value of property relative to other real goods. That is, windfall reflects a
change in someone’s anticipation of the property’s earning power. Fluctuations in stock
market prices are all almost of this nature”. Conservative companies may decide not to
include capital gains in the current profit. At the same time, they would like to write off
capital losses from the current profits of the year in which the loss occurs. On the other
hand, a company may decide to include the capital gains in the profits of the year.
Regarding capital losses, the company may decide to write it off out of retained earnings.
Thus the amount of profit would be affected by the treatment of capital gains and losses.
In the case of unrealized capital gains, there is unanimity that they should not be included
in the profits. If there is a revaluation of property, the gain resulting out of it is usually
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transferred to capital reserve. All these show that there can be discrepancies in the profit
reported by different companies because of the different approaches that they adhere to
the treatment of capital gains and losses.
5.4. Profit Planning
A firm has to face many uncertainties and risks. These uncertainties may arise due
to the dynamic nature of the consumer needs, the nature of competitions, continuous
change in technological developments and uncontrollable nature of cost of production.
The symptoms of a healthy business include making a reasonable profit consistent with
the risks it has to face. The profits cannot be left to chances and it has to be planned.
A firm faces unpredictable demand for its products. Barring the basic
requirements of life and other essential commodities, consumer preferences of
commodities are highly subjective and the firm may not be able to predict the demand
precisely and firm faces this uncertainty, viz.,
The pattern and quantum of demand is uncertain. This is a risk and the firm has
to take steps to forecast the demand for its products.
The firm has to face competition from the rival producers. The competition may
be price-competition or product competition or it may be both. Product
competition is more important till it reaches the stage of maturity.
In a period of continuous rising prices, no firm can be certain of its own cost
structure, as it cannot have control over the price of raw materials and wages
and transport cost, as well as taxes to be paid. This is another uncertainty.
Improvements and change in technological developments may make a firm’s
product obsolete and push the firm out of business, unless, the firm adopts the
new technology.
All these create a condition of risk and uncertainties for the firm to survive in the
business and to make profit in the enterprise. Unless the firm takes an extra ordinary care
to study all the above factors prone to risks, the profits would be left to chance. The firm
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has to plan for the profits by having a thorough knowledge of the relationship of cost,
price and volume in the enterprise .The knowledge of manipulation of these, viz., cost
price and volume will have a definite bearing on the profit making ability of the firm. If a
firm does this exercise elegantly and efficiently, the targeted profit can be ensured. If a
firm makes thorough study and exercise of COST- VOLUME PROFIT ANALYSIS and
takes decisions accordingly to decide the quantum of profit, then the firm is said to have
adopted ‘Profit Planning’ effectively. The most important method of determining the
cost-volume-profit relationship is that of Break- even- analysis.
5.5. Break Even Analysis A business unit breaks even with its total sales value if it is equal to its total
cost. The Break-even analysis helps in understanding the relationship between the
revenues and costs in relation to its volume of sales. It helps in determining the volume in
which the firm’s cost and revenue are equal. Break–even point (BEP), refers to that level
of sales volume at which there is neither profit nor loss, costs being equal to its sales
value and the contribution is equal to fixed expenses.
5.5.1 Differing Views on Break-Even Point
Accountants and Economists differ on break-even point. Economists assume that
revenue and cost vary over increasing volume of output. Accountants, on the other hand,
assume that variable cost varies in direct proportion to output and the break-even point is
constructed assuming linear cost and revenue functions. The comparison of the two views
is given in the figure by depicting the structure of the break-even chart according to
Economist and Accountants.
The figure 5.1 indicates the Economist’s viewpoint of break-even and the figure 5.2
shows the Accountants view point. In the Economists figure the firm should produce
OQ1 to maximize profits. Expansion of output beyond OQ1 results in decline in profits
due to diminishing returns and diminishing marginal revenue .The Total Revenue Curve
eventually drops down, as greater quantities can be sold only by lowering the prices .The
Total Cost Curve simultaneously continues to increase since extra output does not have a
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zero cost .The figure shows the level of output where profits are the maximum. This
situation corresponds to the distance between TR and TC.
Figure 5.1: The Break-even Chart According to Economist
Figure 5.2: The Break-even Chart According to Accountants
In the figure 5.2, the BEP is constructed assuming linear cost and revenue
functions. This view suggests that higher the output, higher is the profits. Break even
point is at B where TC=TR .In the Accountants figure, TR will be always at a higher
level beyond BEP showing increasing profits with the increase of output .TC in this
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figure will never drop down, as these are assumed to be linear .The Economist figure is
realistic and the Accountants figure is practical
5.5.2. Calculations of Break-even PointThe following formula could be used to find out the Break-even point
Total Fixed Cost BEP = Selling price- AVC
= Total fixed expenses Selling price per unit - Variable cost per unit
(a) Illustration: Find out the BEP from the following data: Variable cost per unit =Rs 30/-
Selling price per unit =Rs 40/-
Fixed expenses = Rs.1 lakh.
Answer:
Rs.1, 00,000 BEP =
Rs.40-Rs.30
1,00,000 = = 10,000 Units
10 For this illustration, calculate the selling price per unit if BEP is brought down to 8,000
Total fixed cost Fixed cost per unit =
Number of units
1,00.000= = 12.50
8,000
Selling price = Variable cost + Fixed Cost per unit = Rs.30 + Rs.12.50 = Rs.42.50
Break-even point in terms of sales value
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(b) Illustration:Find out the BEP in terms of sales value on the basis of following data:
Sales =Rs.10,000Variable cost =Rs.6,000Fixed cost = Rs.3,000
In this case, we have to calculate the contribution ratio and then we have to calculate the BEP:
Total revenue minus Total variable costContribution ratio =
Total revenue
Sales minus variable cost =
Sales
= 10.000-6,000 = 210,000 5
Total fixed cost BEP=
Contribution Ratio
3,000
2/5
3,000 x 5 = = Rs. 7500
2
Break- even analysis helps the business firm in focusing on some important
economic leverage, which could be operated suitably to enhance its profitability. It helps
the business firm in
Calculating output or sales to earn a desired profit;
Margin of safety
Change in price
Make decisions; and
Change in cost and price etc.
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5.5.3. Calculation in Terms of Target Profit
(c) Illustration:Find out the target sales volume, if the desired profit is Rs.12.000 with the following data: fixed cost Rs.20, 000,Variable cost Rs.4 per unit; and selling price Rs. 8 per unit.
According to Break even Analysis the formula for
Fixed cost + Target profitTarget Sales volume =
Contribution margin per unit
Substituting the values to the formula, we get:
20,000+12,000Target sales volume=
8-4
32,000=
4
Target sales volume = 8,000 unites
5.5.4. Calculation in Terms of Safety Margin
(d) Illustration: If the present sales of a firm is Rs.40 lakhs and Break-even sales are Rs.30lakhs, find out percentage of margin of safety?
The formula for Safety margin is as follow:
(Sales-BEP)Safety margin= *100
Sales
40,00,000 - 30,00,000Safety margin = * 100
40,00,000
= 25%of present sales.
5.5.5. Calculation in Terms of Change in Price and New Sales Volume:Very frequently, the firm will be faced with problems of taking decisions for
reducing the price or not. A reduction of price will result in the reduction of contribution
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margin. Reduction in price need not necessarily result in the increased sales, as it depends
on the elasticity of demand of the commodity produced by the firm. Assuming that it
remains constant, the management has to take decision regarding the increase of volume
of output in order to maintain the same profit level in the context of reduction in price.
The formula for determining the new volume of sales with given reduction in price will
be as follows:
Total Fixed cost + Total profit
New sales volume = New selling price- Average variable cost
(e) Illustration: A firm sells 4,000 unites per month at a price of Rs.40per unit. Fixed cost works
out to Rs.10,000 per month and variable cost comes to Rs.24 per unit there is a proposal
to reduce the price of the commodity by 20 per cent. How many units should the firm sell
to maintain the present level of profit?
Sales value of 4,000 units at Rs.40 =1,60,000 Less
variable cost of 4,000 units at Rs. 24 = 96,000Contribution = 64,000 Less
fixed expenses = 10,000Present Profit Rs. 54,000
Old price is Rs.40 Reduction of price is 20 per cent, i.e., Rs.8. hence, the new sales price
is Rs.32. Sales needed to maintain the present profit of Rs.54, 000 at new price of Rs.32
per unit are:
Rs.10,000+5,4000New sales volume = = 64,000/8 = 8,000 units.
32-24
The firm has to increase the sales from 400 units to 8000 units. Price reduction of 20% is
justified if the management is confident of raising the sales to 8000 units.
Break-even analysis also helps to decide whether components, which are part of their
finished products, should be manufactured by them or brought from out side firms.
Illustration: A manufacturer of bicycles buys a certain part at Rs.40 each. If he decides to
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manufacture it himself, his cost would be as follows: Fixed costs Rs 48000; Variable cost
Rs.16 per unit. Find out if it is profitable for him to manufacture the parts instead of
buying.
F.CBreak-Even Point =
Purchase price- Variable cost
48000 = 48000/24 = 2000 40- 16
This shows that the manufacturer can produce the parts profitably, if he needs more
than 2000 components per year. If his requirement is less than 2000 units, it is better to
buy from outside firms. Thus the Break-Even analysis is useful to the management in
determining profit policies and profit planning.
5.6. Linear Programming There are many varieties of analytical techniques to solve constrained
optimization problem. We have linear programming, Integer Programming, Quadratic
Programming, and Non-Linear Programming. However, linear programming technique
has been developed more and used frequently. The origin of linear programming dates
back to 1920s when W. Leontief developed this for input-output analysis. The present
version is the work of mathematician George B. Dentzig in 1947. Originally, this
technique was used in planning the diversified operation of US Air-Force. Economists
like Koopmans, Cooper, Dorfman and Samuelson have made significant contributions.
5.6.1 Meaning of Linear ProgrammingLinear programming is a mathematical technique by which rational decisions are
taken in production to optimize output with the constraints of limited input, i.e.,
resources. To put it in a simpler way, it is useful in allocating the limited resources in an
optimal manner in production. We know that resources are very limited and there are
constraints in getting adequate resources and also in the process of production. A
producer has to take decisions to make use of the little resources in order to get maximum
output, or to make a unit output with minimum cost. The problem before the management
is the allocation of firm’s resources, viz, money, material, space, time, labour etc., so as
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to get maximum profit. The linear programming technique helps in realizing the objective
of optimal utilization of resources for getting maximum returns or profits. Hence, this is
an important tool in decision-making and it is comparatively a new tool in decision-
making.
Linear Programming is defined as “a mathematical technique of study where in
we consider the maximization (or minimization) of a linear expression (called the
objective function) subject to a number of a linear equalities and inequalities (called
linear restraints)”. The term ‘linear’ denotes that it is mathematically involving linear
function, and the word ‘programming’ denotes mathematical procedures to get the best
solution to a problem utilizing limited resources.
5.6.2 Need for Linear Programming TechniqueIn economics, we have studied about Marginal Analysis and Least Cost
Combination Techniques, etc. in the production analysis. When we have these methods,
where is the need for the linear programming technique? Marginal analysis and calculus
and other usual methods cannot be used in a situation, where the problem is to obtain an
optimum solution with constraints. The usual methods are useful only in the context of
resource allocation to achieve a particular goal, rather than with the efficiency with which
the resources are to be employed. Realizing a particular objective in production is
different from utilizing the resources most efficiently subject to certain constraints. For
example, if it is a problem of suitable choice of combination of outputs so as to maximize
National income, with the constraints that no more than a given amount of resources
should be used, then, it is a problem of not only optimization. This means that we can use
only a given amount of resources and that the output level of each product has to be non-
negative. This, connotes, that we are required to choose amongst a host of possible
combinations of different outputs, that combination which does not violet the given
constraint conditions, and at the same time, it should maximize National Income.
Moreover, the constraints may be precise or specific; instead they may impose
only upper or lower limits on the decision-maker. For instance, the given limitations may
state only the maximum amounts of the inputs that are available or it may be only certain
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minimum requirements that must be met. Such constraints can be expressed only as
inequality relationships. These problems cannot be solved by means of marginal analysis.
We have to necessarily depend on a new technique of analysis, which has been provided
by linear programming.
5.6.3 Assumptions of Linear Programming Technique The linear programming technique is based on certain assumptions in the process
of obtaining the optimal solution. Some of the important assumptions are discussed
below:
Assumption of Linearity: The main assumption in the technique is the linear
relationship of the variable used in it. The various relationships should be expressed
in the form of equations or inequalities and they must be linear. This means a
proportional relationship, i.e., the exponents of all variable must be one. For
example, the raw materials used, the number of hours of work and the units of
products are proportional. By assuming linearity, we mean that a 20% change in the
productivity hours of work will lead to 20% change in raw materials and 20%
change in output. Similarly, the basic relationship between cost functions, revenue
function and their composite, i.e., profit function are directly proportional, i.e.,
linear. This assumption of linearity implies the constancy of product prices. If costs,
output and prices have to rise linearly, necessarily there must be constant returns to
scale, i.e., the production function must be linear, i.e., homogeneous production
function of first degree. This further leads to the assumption of constancy of factor
prices remain constant, such a situation can be obtained only under perfect
competition. So, the entire analysis rests on a condition of perfect competition. Thus
the technique assumes linearity relationships, which leads to the assumption of
Constancy of product prices Constant returns to Scale Constancy of factor prices Perfect competition
5.6.4. Characteristic Features of Linear Programming Problems
All problems where linear programming is applicable have the following
characteristic features;
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The Objective Function: This clearly defines the objective of the programme in
quantitative terms. This tells about the determinants of the quantity optimized.
Generally, in business, the objective will be maximization of profit or
minimization of cost. If it is planning at the national level, the objective may be
maximization of national income as the sum of outputs of different products. The
objective sought after is known as the ‘objective function’. For example, suppose
a manufacturer produces three commodities, R, S, and T. The quantities produced
are QR, QS, QT respectively. Let the profit per unit in case of these commodities be
PR, PS, PT respectively. The producer wants to maximize profit ‘P’ for them. The
objective function would then be stated as follows:
QRPR + QSPS + QTPT = Maximum
Constraints: This is an algebraic statement of the limits of a resource or input.
This expression is usually in the form of inequalities, which state the things that
are possible or not possible to be done. If a firm is trying to maximize profits, then
it has to take account of the fact that they are limited by number of machines it
has, the warehousing capacity and the amount of raw material available, etc.
suppose the commodities R, S, and T, each require per unit of product X,Y and Z
hours of machine time and only ‘H’ hours of machine time is available. The
constraints on the production of R, S and T, then will be as follows:
XQR + YQS + ZQT ≤ h
The constraints like and objective function must be capable of arithmetical or
algebraic expression. For example, a requirement that any solution shall not lower
the quality of the product is not a constraint in the linear programming sense, as
this cannot be expressed numerically.
Non-Negativity condition: Linear Programming technique is a mathematical tool
for solving constrained optimization problems. Hence we would get any answer
with any algebraic sign attached with it. Some answers may be even negative and
as such absurd. When we get such a negative solution, like negative quantity, it
will be a practical impossibility. For example, in distribution problems, the
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optimal solution arrived at by the technique may be ‘negative shipments’ from
one place to another. Of course, this is an impossible solution. In order to
eliminate such impossible and non-sensual results, it is necessary to include the
non-negativity conditions. Thus in any production problem, we would be required
to include conditions that any factor-input or the quantity produced cannot be
negative. Thus, the non-negativity condition merely states the fact that all variable
in the problems must be equal to, or greater than zero. In our example, if the firm
makes three products, R, S and T, the quantity of production should be either zero
or positive. There would be no negative production, which means that the
commodity is ‘reproduced’ or ‘dismantled’ which is absurd. So, in the illustration,
the non-negativity conditions would be:
QR ≥ 0 QS ≥ 0 QT ≥ 0
Linear relationship: As has been indicated already, the various relationships to
be expressed in the form of equations or inequalities must be linear, i.e.,
proportional relationship.
5.6.5. Methods of Linear ProgrammingA problem related to linear programming can be solved by two methods. The first
one is called the ‘graphical method’ and the second one is known as ‘simplex method’.
The latter requires advanced mathematical techniques involving extensive use of
algebraic equations and manipulations. Further, the computational procedure is very
wearisome, and without electronic computer, it will be difficult to cope with the volume
of data and calculations to find solutions to actual business problems. But the Graphical
Method is a simpler one having a close resemblance to indifference curve analysis. This
method can be used very elegantly where there are a few decision variables.
5.6.6. Graphical methodProblem: Suppose the objective of a firm is to maximize profit in the production of
product ‘R’ and/or product ‘S’. Both these products require two machines, namely,
machine ‘a’ and machine ‘b’ for purposes of processing. Product ‘R’ requires 4 hours on
both the machines ‘a’ and ‘b’, while product ‘S’ requires 6 hours on machine ‘a’, but only
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2 hours on machine ‘b’. There are only 24 and 16 hours available on machine ‘a’ and ‘b’
respectively. The profit per unit is estimated at Rs.12/- and Rs.14/- in the case of ‘R’ and
‘S’ respectively.
Now, we have dependent variable, viz, profit which is to be maximized and this is
the function of two independent variables ‘R’ and ‘S’ the production of which is
restricted by the time available in the machines.
First Step: (Formulation of problem)The above stated information has to be formulated in mathematical form. We
have the objective function. This is an equation showing relationship between output and
profit.
P = Rs. 12R + Rs.14S
If P = Profit; Rs.12R = Total profit from sale of product ‘R’
Rs.14S = Total profit from sale of product ‘S’
The time taken in processing the products in the machines must not exceed the
total time available on each. It may be less or equal to the time available on the machine.
These are the constraints and the constraints can be expressed mathematically as follows:
A: 4R + 6S ≤ 24
B: 4R + 2S ≤ 16
This means, the first inequality states that the hours required to produce one unit
of ‘R’ (4 hours) multiplied by the number of units of ‘R’ produced plus the hours
required to produce one unit of ‘S’ (6 hours) multiplied by the number of units of ‘S’
produced must be equal to or less than 24hours available on machine ‘a’. A similar
explanation holds good for the second inequality. Both these inequalities represent
capacity restrictions on output and hence on profit.
Finally, to get meaningful answers, the values of R and S must be positive i.e.,
producing negative quantities of R and S may not convey any meaning. Thus solutions
for R and S must be either zero or greater than zero, i.e., R ≥ 0; S ≥ 0.
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To sum up we get: Maximize subjects to constraintsP = 12R + 14S4R + 6S ≤ 244R + 2S ≤ 16R ≥ 0; S ≥ 0.
Second Step :(Plot the constraints on Graph)The next step is to plot the restraints of the linear programming problem on a
graph paper; products ‘R’ to be shown on ‘X’ axis and product ‘S’ on ‘Y’ axis (Figure
5.3). The inequality 4R + 6S ≤ 24 may be drawn on the graph first locating its two
terminal points, and then joining these two points by a straight line. This is done in the
following manner. If we assume that all the time available on machine ‘a’ is used for
making product ‘R’, then it would mean that the production of product ‘S’ is zero. Then 6
units of product ‘R’ would be made. Thus, if S = 0, then R ≤ 6. If we produce the
maximum number of product ‘R’, then R = 6. so the first point is (6,0) to be plotted in the
graph, i.e., zero product of S and 6 units of R.
In order to find the second point, we assume that all the time available on machine
‘a’ is used in making ‘S’; i.e.., production of ‘R’ is zero. Under this assumption, we get 4
units of ‘S’. Thus, if ‘R’ is zero, then S = 14. The maximum number of ‘S’ would be 4.
So, the second point is (0,4). This denotes 4 units of ‘S’ and zero unit of ‘R’.
Locating these points, viz., (0,4) and joining them, we get a straight line AB as shown in
figure –5.1. This line shows the maximum quantities of product R and S that can be
produced on machine ‘a’. The area AOB is the graphic representation of inequality 4R +
6S ≤ 24 It can be drawn graphically as shown in the figure.
Similarly if the output of ‘S’ is zero, the maximum output of ‘R’ on machine ‘b’
will be 4, i.e., (4,0). If the output of ‘R’ is zero, the maximum output of ‘S’ on the
machine ‘b’ will be 8. i.e., (0,8). Locating these two points and joining them, we get
straight line CD, as shown in the figure. This line again represents the maximum
quantities of products R and S that can be produced on machine ‘b’. The area COD the
graphic representation of inequality 4R + 2S≤ 16
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Figure 5.3 Graphical Representation of Linear programming Problem
Third Step: Finding out Feasibility Region and Co-ordinates of its Corner Points.The third step is to identify the cross-shaded portion are OAED in the figure. This
is generally known as feasibility region. This is formed with the following boundaries; X
axis; Y-axis; AED boundary is formed by the intersection of lines AB and CD at point
‘E’. If a point is to satisfy both the constraints and the non-negativity conditions, it must
fall inside the cross-shaded area or on its boundaries. All points outside the feasibility
region are inadmissible. For example, if we begin at the origin O, we cannot travel
beyond point ‘D’. If we were to proceed further, the capacity restriction of machine ‘b’
will be violated. Similarly on the Y-axis, we cannot proceed beyond ‘A’. Moving beyond
‘O’ leftward or downward would not satisfy non-negativity conditions
In this feasibility region, we have to study the corner points, as the optimum
solution invariably must lie in one of the corner points. We know the co-ordinates of
three corner points, viz.,
Corner point R S
O (0, 0)A (0, 4)D (4, 0)
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The co-ordinates of point ‘E’ however, are yet to be ascertained. One method is to
read the co-ordinates in the figure itself, if it is drawn accurately and to the scale in the
graph sheet. Another method is to solve simultaneously the equations of the two lines,
which intersects to form point ‘E’. The equations to be solved are:
4R + 6S = 244R + 2S = 16
Solving these two equations we get the value of R or S
4R + 6S = 244R + 2S = 16
- - -4S = 8 S = 2
Now, substitute the value of S in the equation 4R + 6S = 24. We get value of R =
3. So, the co-ordinates of point ‘E’ are (R=3: S=2)
Fourth Step: Find Most Profitable Corner Point
The final step is to test the four corner-points, viz., O, A, D; E. Of the feasible region
OAED and to see which corner- point yields the maximum profit.
Corner-point O; (0,0) = 12(0) + 14(0) = 0 Corner-point A; (0,4) = 12(0) + 14(4) = 56 Corner-point D; (4,0) = 12(4) + 14(0) = 48Corner-point E; (3,2) = 12(3) + 14(2) = 64
The corner-point which yields the maximum profit is ‘E’ and the maximum profit
is Rs.64/- Thus, the graphical method of linear programming consists of formulating the
problem, plotting the capacity restraints on the graph; identifying the feasibility region
and its corner-points and finally testing which corner point gives the maximum profit.
5.6.7. Simplex Method
Another method of liner programming is the Simplex method. The simplex
method offers a means of solving the more complicated programming problems. The
simplex method, however, is more complex than simple’ and involves somewhat
unsophisticated, complex mathematics. The complexity lies in the manipulation of
numbers. The simplex method for solving linear programming problems was developed
by G.B. Dentzig.
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5.6.7.1 Characteristic features
Simplex method possesses two worth mentioning characteristic features. First, in
the simplex method, the computational routine is an iterative process. To iterate means to
repeat; hence in working towards the optimum solution, the computational routine is
repeated over and over, following a standard pattern. Successive solutions are developed
in a system at pattern until the best solution is reached. Secondly, each new solution will
yield a profit as large as or larger than the previous solution. This important characteristic
assures us that we are always moving closer to the optimum solution.
5.6.7.2. Linear programming problem
Let us take linear programming problem. A manufacturer makes two products,
tables and chairs, which must be processed through two machines. On machine1, 30
hours are available and on machine 2, 24 hours are available. Each table [X1] needs 2
hours on machine 1 and 1 hour on machine 2. Each chair [X2] requires 1 hour on machine
1 and 2 hours on machine 2. The profit is Rs. 4 per table [X1] and Rs. 3 per chair [X2].
The problem is to determine the best possible combination of tables and chairs to produce
and sell in order to earn the maximum profit.
Stating mathematically, the linear programming problem is:
Maximize profit =Rs.4X1+Rs.3X2
Subject to 2X1+X2 ≤ 30 hours
X1+ 2X2≤ 24 hours
Solving a problem by the simplex method requires (1) arranging the problem
equations and inequalities in a special way and then (2) Following systematic procedures
and rules in calculating a solution.
I Step: Develop Equations from the Inequalities (Adding SLACK Variables)
The first step is to change the inequalities for the two constrains in our problem
into equations. We cannot use the simplex method unless all the inequalities are
converted into equations by adding slack variables. Let us explain what a slack variable
is. A slack variable represents costless process whose function is to ‘use up’ otherwise
unemployed capacity, say machine time or warehouse capacity. In effect, the slack
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variable represents unused capacity and it will be Zero only if production facilities are
fully used. The slack variable makes the right-hand side of an inequality and up the left-
hand side.
To take an example: Let
S1=Slack variable (unused time) on Machine 1.
S2= Slack variable (unused time) on Machine 2.
S1 is equal to the total time available on machine 1(i.e., 30 hours) less any hours used
there in processing tables and chairs. Similarly, S2 is equal to the total time available on
machine 2 (i.e., 24 hours) less any hours used there in processing tables and chairs.
Mathematically, we can restate the equations for the slack variable S1and S2 as under:
S1=30-2X1-X2…machine 1
S2=24-X1-2X2…. machine2
We may also see that by adding the slack variables, we could change the constraint
inequalities in our problem into equations. Thus, by adding the slack variable S1, the
inequality 2X1+X2 ≤ 30 hours is changed into the equation
2X1+X2+S1=30 hours
Likewise by adding the slack variable S2, the inequality X1+2X2 ≤ 24 hours is changed
into the equation
X1+2X2+S2=24 hours
In other words, the slack variable on each machine takes on whatever value is required to
make the equation relationship hold. Two examples will make this point clear.
Example1. Suppose that on machine 1, we process 3 tables (X1) and 2 chairs (X2).
S1=30 hours – 2(3)-1(2)
30-6-2=22
Example 2. Suppose that on machine 2, we process 3 tables (X1) and 5 chairs (X2).
S2=24-1(3) -2(5)
= 24-3-10=11
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We can now restate our linear programming problem in the from in which it will be used
in the simplex method. It is:
Maximize Profit (P)=Rs.4X1+Rs.3X2.
Subject to 2X1+X2+S1=30 hours
X1+2X2+S2=24 hours
The above form is referred to as the equality form of the programme the only changes we
have made are the introduction of slack variable into the constrains. It may be pointed out
that whereas S1 and S2 are the slack variables, X1 and X2, in contrast, are called structural
or ordinary variables. Further, the slack variables must be non-negative. In the simplex
method, any unknown that appears in one equation must appear in all equations. The
unknown that do not affect an equation are written with a Zero coefficient. For example,
since S1and S2 represents unused time, which yields no profit, these variables are added to
the profit function with Zero coefficient. Furthermore, since S1 represents unused time on
machine 1 only, it is added to the equation-representing machine 2 with Zero coefficient.
For the same reasons, S2 is added to the equation representing the time constraint on
machine 1. Thus we get the following equation:
Maximize Profit =Rs.4X1+Rs.3X2 +0S1+0S2
Subject to 2X1+X2+S1+0S2=30 hours
X1+2X2+0S1+S2=24 hours
II Step: Develop Initial Simplex Tableau
We can now set out whole problem in what is known as a simplex tableau. The
simplex tableau is a table consisting of rows and columns of figures and is also known as
simplex matrix. It will be helpful here to describe the simplex tableau and to identify its
various parts. We illustrate below the form of simplex tableau or matrix and explain its
various parts (Table 5.2).
(1) Cj row: In the simplex tableau, the first row is the Cj row, also known as
objective row. In this row, we insert the coefficients in the objective equation. Thus, the
Cj row appears as follows in the initial simplex Tableau (Table 5.2):
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Rs.4 Rs.3 Rs.0 Rs.0 Cj row
X1 X2 S1 S2 Variable row
Note that the coefficients in the objective equation are listed above the corresponding
variables, i.e., 4 above X1, 3 above X2, 0 above S1 and 0 above S2. The Cj row shows the
profit made per unit of each variable; Rs. 4 per unit of X1, Rs. 3 per unit of X2, Rs. 0 per
unit of S1 and Rs. 0 per unit of S2. Thus, the Cj row or the objective row is put above the
variables row to remind us of how much profit we make for each item produced.
Table 5.2 –Parts of Initial simplex Tableau
Cj Profit per unity
Product mix column
Constant column (i.e., quantities of product in the mix)
Variable columns
Cj Product mix Quantity Rs.4 Rs.3 Rs.0 Rs.0
X1 X2 S1 S2
Rs.0 S1 30 2 1 1 0
Rs.0 S2 24 1 2 0 1
(2) Restraint Equations: The two restraint equations are shown in the simplex
tableau as follows:
Quantity X1 X2 S1 S2
30 2 1 1 0
24 1 2 0 1
Note that on the top we have first listed the products whose outputs we are determining,
viz., X1, we write all the coefficients of this variable; for example, under X1 we write all
the coefficients of this variable; for example, under X1 we write 2/1. Similarly, under X2
we write 1 and 2; under S1 we write 1 and 0, and under S2 we write 0 and 1. At the
extreme left-hand, we write that constant 30 in the first row and constant 24 in the second
row corresponding to the two restraint equations. Thus, the first row represents the
coefficients of our first equation and the second row represents the coefficients of our
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second equation. We have in this way simply rearranged the terms in the constraint
equations to form the simplex tableau.
(3) Product-mix column: Under the graphical method, we have already seen that all
solutions to linear programming problems will be found amongst the corners of the
feasible region. One such corner and in fact the most easily found corner is the origin.
Under the simplex method, this origin (or corner point O) provides the starting point
solution. At this point, note that no tables or chairs will be produced and all the capacity
will be unused. Finally, with no production and all unused capacity, there will be no
profit. In other words, the starting solution will be the zero-profit solution. This solution
is the worst possible and is also known as trivial solution. We can see that if no tables or
chairs are produced, i.e., if X1=0 and X2=0, then the first solution would be:
X1=0 X2=0
S1=30. S2=24
The first feasible solution then is shown in the initial simplex tableau 5.2. It may be noted
that the product-mix column shows the variables in the solutions. The variables in the
first solution are S1 and S2 (the slack variables representing unused capacity). In the
quantity column we find the quantities of the variables that are in the solution:
S1=30 hours available on Machine 1
S2=24 hours available on Machine 2
As the variables X1 and X2 do not appear; in the product-mix, they are equal to zero.
(4) Cj column: We may now add Cj column at the left end. This shows the profit per
unit for the variables S1 and S2. For example, the zero appearing to the left of theS1 row
means that profit per unit of S1 is zero. Likewise, the zero to the left of S2 row means that
profit per unit of S2 is zero.
(5) Zj row : The Zj may be defined as: “The Zj is the Cj for a row times the coefficient
for that row within the tableau, summed by column.” In other words, to arrive at the Zj
value for a particular column we first multiply each coefficient in the column by the Cj
against the coefficient, and then add up the products so obtained. This may better be
understood by actually computing Zj row.
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Let us take the value in the Zj row under the Quantity column. The figures under this
column are 30 and 24. The Cj against co-efficient 30 is 0. So they are to be multiplied:
0 X 30 = 0
Again, the Cj against co-efficient 24 is 0. So they are also to be multiplied:
0 X 24 = 0
Now, the products are to be added, i.e.,
0 + 0 = 0
This is the value of Zj under the Quantity column. It may be noted that this represents the
total profit from this particular solution, zero in this case. The Z j value for the different
variables viz X1, X2, S1 and S2 could be obtained through this method. The Zj values
represent the amounts by which profit would be reduced if one unit of the respective
added to the product mix.
(6) Cj-Zj Row
Now Cj-Zj is the net profit that will occur from introducing –from adding-one unit of a
variable to the production schedule or solution. For example, if 1 unit of X1 adds Rs.4 of
profit to the solution and if its introduction causes no loss, then Cj-Zj for X1=Rs.4. Net
income from the introduction of any variable could be obtained by following this
procedure. The values obtained for different variable shown in Cj-Zj row in initial simple
table.
5.3 Completed Initial Simplex Tableau
Cj Rs. 4 Rs. 3 Rs. 0 Rs. 0
Product Mix Quantity X1 X2 S1 S2
Rs. 0 S1 30 2 1 1 0
Rs. 0 S2 24 1 2 0 1
Zj 0 Rs. 0 Rs. 0 Rs. 0 Rs. 0
Cj – Zj 4 3 0 0
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By examining the initial numbers in the Cj – Zj row of the initial simplex tableau,
we could find that total profit can be increased by Rs. 4 for each unit of X1 added to the
mix or by Rs. 3 for each unit of X2 added to the mix. This Cj – Zj value for any particular
variable indicate the extent to which profit could be increased by adding 1 unit of that
particular variable to the product mix. On the other hand, a negative number in the Cj –
Zj row would indicate the amount by which profit would decrease if one unit of the
variable heading that column were added to the solution. Hence, optimum solution is
reached when no positive number remain in the Cj – Zj row. Thus, looking at this row
one could determine whether any improved solution is possible.
III Developing Improved Solutions
(1) Chose the Entering Variable: Whichever variable replaces S1 or S2 will be known
as the entering variable. The number in Cj – Zj row tell exactly which product will
increase the profits most. Thus, Entering Variable is one for which Cj – Zj value is the
highest. As is seen in the table 5.2 adding one unit of X1 will add profit of Rs 4.
Therefore, X1 column is called optimum column or pivot column.
(2) Chose the Departing Variable: In order to determine which variable to be replaced
following procedure has to follow. Firstly, divide each number in the quantity column
that is 30 and 24 by the corresponding number in the pivot column.
S1 row 30 hours/2hours per unit = 15 units of X1
S2 row 24 hours/ 1 hour per unit = 24 units of X2
Secondly, select the row with the smallest ratio as the row to be replaced. As the S1 row
has the smallest positive ratio it is called the replaced row. This row will be replaced in
the next solution by 15 units of X1. This row is also known as the pivot row.
(3) Developing Second Simplex Tableau: After choosing the entering and departing
variable, a second simplex tableau can be developed, providing an improved solution.
The first part of the new tableau to be developed is the X1 row. The X1 row of the new
tableau is computed as follows. A) Divide each number in the replaced row (S1 row) by
the intersectional element (2) of the replaced row i.e. pivot number
30/2 = 15, 2/2=1, ½=½ ½=½ 0/2=0
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Thus, the new X1 row would be: (15, 1, ½, ½, 0). These values appear in the second
simplex tableau (table 5.5).
4) New Values for rows other than pivot row: To compute the second tableau, we
compute new values for the remaining row by using the formula shown in the 4 th column
of the table5.4.
Table 5.4: Computation of New Values for the Rows other than Pivot Row.
Element in
old S2 row
(1)
Intersectional
element of S2 row
(2)
Corresponding element
in replacing row
(3)
New S2
= (Column 1 – (Column 2*Column3)
(4)
24 1 15 9
1 1 1 0
2 1 ½ 1 ½
0 1 ½ -1/2
1 1 0 1
Thus, the new S2 row will be (9, 0, 1 ½, -1/2, 1). These values appeared in the second row
of the table 5.5.
Table 5.5: Second Simplex Table
Cj Rs. 4 Rs. 3 Rs. 0 Rs. 0
Product Mix Quantity X1 X2 S1 S2
Rs. 4 X1 15 1 1/2 1/2 0
Rs. 0 S2 9 0 1 1/2 -1/2 1
Zj 60 Rs. 4 Rs. 2 Rs. 2 Rs. 0
Cj – Zj 0 1 -2 0
Zj value under quantity column was estimated to be Rs.60. Thus, the producer
could earn total profit of Rs. 60 from this solution or product mix. The existence of
positive number in the Cj-Zj row of table 5.5 indicates the existence of further improved
solution. Third simplex table has to develop by repeating the procedure discussed above
167
(III Developing Improved Solutions). This procedure has to continue as long as there
are/is positive number/s in the Cj-Zj row.
5.7. Self Review Questions
1. Define the concept of profit
2. What is slack variable?
3. Explain the concept of break even point
4. Distinguish between ‘Profiteering’ and ‘Profit-earning’
5. Explain the important steps involved in the simplex method of
linear programming problem
6. The following information is given by the cost accountant of X co.
Ltd. Bangalore for 2005
Sales 100000
Variable Cost 60000
Fixed Cost 30000
i) Calculate BEP and Margin of Safety
ii) The Effect of 10% increase in selling price
7. A firm producing either P or Q. It can produce one unit P by using 2 units of
chemicals and 1 unit of compound. Similarly it could produce one unit of Q by
using 1 unit of chemicals and 2 units of compound. Only 800 units of chemicals
and 200 units of compound are available in the firm. The profit per unit available
to the firm is Rs. 30 and Rs. 20 respectively. Given this information estimate the
optimum combination of P and Q to be produced by using the graphical method in
order to produce and earn maximum profit.
5.8 References/ Suggested Readings
1. Dominick Salvatore: “Managerial Economics”, McGraw-Hill International Editions,
Singapore
168
2. Varshney RL, and Maheshwari K.L: “Managerial Economics”, Sultan Chand & Sons,
New Delhi-110002
3. Sankaran: “ Managerial Economics”, Margham Publications, Madras
3. Dwivedi, D. N.: “Managerial Economics”, Vikas Publishing House Pvt. Ltd.,
Ghaziabad.
5. D.M.Mithani : “Managerial Economics: Theory and Applications”, Himalaya
Publishing House, Mumbai-400 004
169