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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