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7/28/2019 decision regarding alternative choices
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PRICING DECISIONS
Fixing of selling prices the most important function ofmanagement.
Marginal costing technique will determine prices undervarious circumstances :
Pricing under normal conditions- prices arebased upon TC of sales to cover both FC n VC.
Pricing under stiff competion prices below TC butabove MC.
Pricing under special orders, bulk orders, additionalorders, exports -
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Example
Q-- MC-5/unit, FC-100000 , SP-6/unit and unitssold are 50000.
Marginal cost of 50000 units @rs 5/unit 250000
Fixed expenses 100000
Total cost 350000
Cost per unit = 350000/50000 =7/unit
Now our SP-6/unit which is below TC of rs7/unit but more than MC of 5/unit.
Sales value of 50,000 units @rs 6/unit 3,00,000
Less : TC 3,50,000
loss 50,000
Loss due to FC, If product is discontinued 100000
Loss reduced if product is continued 50000
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CONTI We will accept this price because SP of 6/unit is still covering
MC of 5/unit.
MC @5/unit = 250000 and sale value @6/unit= 300000.
But if SP = 5/unit then sale value = 250000 which equals MC
then below this point we will not the price.
PRICING UNDER SPECIAL ORDERS
Special orders often comes with a price lower than the marketprice. So a decision is made on whether to accept this order or
not.
P> MC , can be accepted.
Order from local customers should not be accepted as it can
affect relations with other customers. But exports can be done.
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Under special orders
Q-A juice manufacturer produces 12,000 bottles of juice @rs
1.32/bottle. Normal production capacity is 24,000bottles per
month. Analysis of cost of 12000 bottles is given:
Direct material 1500
Direct labor 2475
Power 130
Bottles 550
Misc supplies 390
Fixed exp 11000
Total 16045
Company received offer for export of 1,20,000 bottles of juice at 12,000 bottles per
month @83paisa a jar.
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Marginal cost statement
Per unit Present
capacity 50%
Proposed
another
50%capacity@83paisa/unit
Total capacity
100%
Sales 12000 12000 24000
Less: marginal cost
: direct mate.
Direct labor
Power
Misc. supplies
Bottles
0.125
.20625
.010833
0.0325
.0458
1500
2475
130
390
550
1500
2475
130
390
550
3000
4950
260
780
1100
Contribution
FC
.899617 10795
11000
4915 15710
11000
PROFIT/LOSS (205) 4915 4710
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At present level we are having a loss of 205 eventhough the VC is .420383 against the price of1.32/unit. This is because the price of 1.32 is notcovering FC of 1.337.
But if additional offer for 12,000 is sold then we getan profit of 4710 even though the price is 83paisa.All this is because of the fact that additional salesgave a contribution of of 4915.
Therefore the offer should be accepted as noadditonal FC is involved.
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Profit planning and maintaining it Marginal costing can be applied for profit planning as well. Changes in sales price,variable costs and product mix affect profitability of a firm and thereforemarginal costs help in determining such changes on profit.DESIRED SALES = fixed cost+profit
profit-volume ratio
Q Materials - 65
labour - 30
Variable overheads - 20115
fixed overheads - 55
profit - 60
selling price - 230
Total manufacturer of 1,00,000 scooters. Due to competition firm has to reduceprices. How many scooters will have to be made to get same amount of profit if:
1. The selling price is reduced by 15%.
2. The selling price is reduced by 25%.
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Solution :
Fixed expenses = 55/fridge
Present profit = 60/fridge
Total no of fridge= 100000
FC = 55*100000=55,00,000TOTAL PROFIT = 60,00,000
If selling price is reduced by 15%
New selling price = 230 15% = 230 34.5= 195.5desired sales = 5500000+60,00,000 / (195.5 115)
= 142857.1429 fridges
if selling price reduced by 25%
new SP = 230-25% = 230-57.5= 172.5
desired sales = 55,00,000+ 60,00,000/(172.5 115)
= 200000 fridges
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Opportunity cost concept
The opportunity cost is helpful to managers in
evaluating the various alternatives available when
multiple inputs can be employed for multiple uses.
Examples
The opportunity cost of using a machine to produce a
particular product is the earnings foregone that would
have been possible if machine produced another product
.
The opportunity cost of funds invested in a business is
the interest that could have been earned by investing in
a bank.
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EXAMPLE
Estimated direct material requirements for ABC ltd is
1,00,000units.Unit cost for orders below 1,20,000units is
rs10. When size of order equals 1,20,000 or more,a
discount of 2% on above quotes price is received.
Keeping in view two alternatives :
But 1,20,000 at start of yr.
But 10,000 per month .
Calculate opportunity cost ,if concern has the facility of
investing surplus funds in bonds @10% interest.
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Solution :
Average investments in inventory -
1. (1,20,000*9.80)/2= 5,88,000
2. (10,000*10)/2 = 50,000
surplus amt= 5,88,000-50,000 = 5,38,000
firm can invest 5,38,000 @10% and can earn
53,800 as interest.
This amt of 53,800 is the opportunity foregone if(1)alternative is chosen.
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Conti
The concept of opportunity cost is also used in capital
expenditure decision using time value of money.
Example :
A manufacturer owns a plot of land and has three proposals as
under :
Sell plot now for net income of 1lakh.
Rent out land at annual rent of 8000 for 25yrs and thereafter sell
it for 150,000.
Spend 10,00,000 in construction of building now and thereafter
rent it for annual rent of 1,10,000 for 25yrs. Afterwards sell it for
3,00,000.
rate of return 10%, see which is more profitable.
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A B C
0(initial yrs) 1,00,000 Nil - 10,00,000
1- 25yrs -- 2,00,000 27,50,000
After 25yrs -- 1,50,000 3,00,000
Net cash flow 1,00,000 3,50,000 20,50,000
Net present value of
cash flow@10%
1,00,000 86,416 26,163
Since 1st alternate has max present value then it most
preferable .
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Effect of change in sales price
Components RS
sales 60,000
Variable cost 30,000
Fixed cost 15,000
The effect of change s in sales prices can be easily analyzedwith the help of contribution technique.
Following data are available from the record of a company:
You are required to :-(a) Calculate the P/V Ratio, Break-Even Point and Margin of
Safety at this level.
(b) Calculate the effect of 10% increase in sale price.
(c) Calculate the effect of 10% decrease in sale price.
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Solution
(a) P/V Ratio P/V ratio = contribution / Sales x 100
contribution = Sales variable cost= (60,000 30,000)Rs =rs30,000
P/V ratio = 30,000/60,000 x100 = 50%
Break- even point = Fixed cost/ (P/V ratio ) = 15,000 x 100 /50 = 30,000
Margin of safety = present sales sale ay B.E.P.
=Rs. 60,000 30,000= Rs. 30,000
(b) Effect of 10% increase in sale price :-
Sale =Rs. 60,000 + 10% =Rs. 66,000
P/V ratio = (66,000 30,000)X100/66,000 = 54.55%
B.E.P.= 15,000/54.55% = Rs. 27,500
Margin of safety =Rs. 66,000 27,500 =Rs. 38,500
(C) Effect of 10% decrease in sale price :- sales = Rs. 60,000 10%= rs 54,000
similarly P/V ratio =44.44% B.E.P. = Rs. 33,750
Margin of safety =54,000 33,750 = Rs. 20,250
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Alternative method for Production:-
The management has to Choose from amongalternative methods of production. For complexsituation management applied Marginal costingtechnique and the method which gives the highest
contribution can be adopted keeping in view, ofcourse, the limiting factor.
Q. Product A can be manufactured either by machine X ormachine Y. Machine X can produced 50 unit of A per hour andmachine Y ,100 unit per hour. Total machine hours availableare 2000 hours per annum. Taking into account the followingcost data, determine the profitable method of manufacture:
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Machine X (Rs)
Per unit A
Machine Y (Rs)
Per unit A
Direct material 8 10
Direct wages 12 12Variable over head 4 4
Fixed over head 5 5
Total 29 31
Selling price 30 30
Less : Material Cost (Direct material +Direct
wages + Fixed over head)
24 26
Contribution per Unit 6 4
Output per hour 50 Unit 100 Unit
Contribution per hour Rs 300 Rs 400
Total machine hour (per annum) 2,000 2,000
Total contribution Rs 6,00,000 Rs 8,00,000
Hence, production of Machine Y is more profitable
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Determination of optimum Level of
Activity
Marginal costing technique used for finding different level ofactivity and activity which gives the highest contribution will be
the optimum level.
The level of production can be raised till the marginal cost does
not exceed the selling price.Q. A factory engaged in manufacturing in manufacturing plastic chair is
working at 40% capacity and produces 10000 chair per annum.
The present cost break-up for one chair is as under:
Material 100 Rs.
Labour cost 30 Rs
Overhead 50 Rs
Selling price 200 Rs/unit
If Working capacity Selling price falls by50% 3%
90% (5% Fall in material cost also) 5%
calculate the profit and BEP at both capacity level.
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Solution :- output at 40% capacity =10,000 units
so output at 50% capacity =10,000x50/40 =12,500
and output for 90% capacity=10,000x90/40=22,500
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50% capacity 90% capacity
Per unit Rs. Total Rs. Per Unit Rs. Total Rs.
a).Sales 200 (3x200)/100
= 194
12,500x194
= 2,425,000
200-(5x200)/100
=190
4,275,000
b).Variable cost =(Material +wages + variable
overhead
100+30+20= 150 1,875,000 (100-5)+30+20=
145
3,262,500
c).Contribution (a-b)
d).fixed overheads
(60%of 5)x10,000
44 5,50,000
3,00,000
45 1,012,500
3,00,000
Profit(c-d) 2,50,000 7,12,500
Break even point =
Fixed expenses
contribution
BEP= 3,00,000/44
=6,818 Unit
chair
BEP=3,00,000/45
=6,667 unit chair
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9. Evaluation of Performance
Evaluation of performance efficiency of various
departments, product lines or markets can also bemade with the use of the technique of marginal
costing.
Sometimes, the management may have to decide to
discontinue the production of non profitable
products or departments so as to maximise the
profits.
In such cases, the contribution of different products,department or sales divisions can be compared and
the one with lowest P/V ratio should be
discontinued.
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ILLUSTRATION
This illustration explains how the technique of marginal
costing can be applied to evaluate the performance of
different products or departments.
The management of the company considers that product B,
one of its three main lines, is not as profitable as the other
two with the result that no particular efforts are being made
to push its sales.the selling price and costs of these productsare as follows:
Product Selling Price Direct Material Direct Labour
Dept. X Dept.Y Dept.Z
Rs. Rs. Rs. Rs. Rs.A 100 20 8 4 4
B 80 12 4 8 4
C 90 16 4 4 8
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Contd
Overhead rates for each department per rupee
of direct labour are as follows:Dept. X Dept. Y Dept. Z
Rs. Rs. Rs.
Variable Overhead 2.50 1 2
Fixed Overhead 2.50 4 3
5 5 5
What advice would you give to the management about the profitibility of
product B ? Give reasons.
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Solution
Comparative Profitability Statement
Product A Product B Product C
Rs. Rs. Rs. Rs. Rs. Rs.
Selling PriceLess: Marginal Cost
Direct MaterialDirect Labour
Variable Overhead
Dept. X
Dept. Y
Dept. Z
Contribution
P/V Ratio
100 80 90
20 12 1616 16 16
10 5 5
2 4 2
4 52 4 41 8 47
48 39 43
48% 48.75% 47.77%
48/100x100 39/80x100 43/90x100
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10. Capital Investment Decisions
The technique of marginal Costing Also helps
the management in taking capital investment
decisions.
These decisions are very crucial for the
management.
There is an example to illustrate how marginal
costing can be used while making such
decisions.
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Illustration A person now spends Re. 0.90 per kilometer on taxi fares for
his work. He is considering two other alternatives, the
purchase of a new small car or an old bigger car.the estimated
cost figures are:
Items New small car Old bigger carRs. Rs.
Purchase price 35,000 20,000
Sale price after 5 yrs. 19,000 12,000
Repairs and servicing(per annum) 1,000 1,200
Taxes and insurance(per annum) 1,700 700
Petrol consumption per ltr. 10 km. 7 km.
Petrol price Rs. 3.50 per ltr.
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ContdHe estimated that he does 10,000 km. annually. Which of the
three alternative is cheaper? If his practice expands and he has
to do 19,000 km per annum, what shuould be the decision? At
how many km per annum will the costs of the two cases break-
even and why? Ignore income tax and interests.
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Comparative Cost statement
New Small Car Old Bigger Car Taxi
Rs. Rs. Rs.
Purchase price 35,000 20,000
Less : Sale Price (after 5 yrs.) 19,000 12,000
Depriciation for 5 yrs. 16,000 8,000
Depriciation for one year 3,200 1,600
Repair and Servicing 1,000 1,200
Taxes And Insurance 1,700 700
Fixed cost per annum 5,900 3,500
Variable cost per annum :
(i) Petrol for 10,000 km.
New small car @ RS. 3.50 for 10 km 3,500
Old big car @ rs. 3.50 for 7 km. 5,000
(ii) Petrol for 19,000 km. 6,650 9,500
Total Cost (Fixed + Variable)
for 10,000 km. 9,400 8,500 9,000
(10,000x0.90)
for 19,000 km. 12,550 13,000 17,100
(19,000x0.90)
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Conclusion. For present practice requiring 10,000 km, an old
bigger car is the cheapest as the annual cost is Rs. 8,500 which is
the lowest of the three alternatives. But if his practice expands
to 19,000 km, a new small car will be the cheapest with anannual cost of Rs. 12,550.
Calculation of Km at which the cost of two cars will break-even :
Variable cost of new small car, for 10,000 km. =Rs. 3,500
Variable cost of new small car, per km = 3,500/10,000
Re. 0.35
Variable cost of old bigger car, for 10,000 km. =Rs. 5,000
Variable cost of bigger car, per km. =5,000/10,000
Re. 0.50