economics for managers - session 08

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    PSG INSTITUTE OF MANAGEMENTMBA 2011-13 BATCH

    I TRIMESTER

    SESSION VIII - FOR BATCH C AND DCOST FUNCTION

    ECONOMICS FOR

    MANAGERS

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    Cost of Production

    12/09/11EFM Faculty P.Uday Shankar

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    Cost of production is the cost of the factors used. Factors of production have to be paid or rewarded for their use.

    Note that Normal Profit is viewed as a Cost. ( Accountants could be puzzled

    !!). Any profit earned in excess of the profit needed to reward theentrepreneur is called Excess Profit.

    The reward to the entrepreneur is in other words the Opportunity Cost of

    keeping the entrepreneur from going elsewhere.

    Factor of Production Cost

    Land Rent

    Labour Wages

    Capital Interest

    Enterprise Normal profit

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    Fixed and Variable Costs

    12/09/11EFM Faculty P.Uday Shankar

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    In the short run certain costs are fixed as availability ofresources is restricted. Such costs are Fixed Costs.Eg. A factory pays Rs 25,000 as fixed cost towards the cost of a machineleased-in by it for say two years regardless of how many units of outputare produced using the machine. Even if the factory shuts downproduction for a month due to any reason it must pay the amount Rs25,000 for the period. Other egs. are rent for the premises.

    Payments for Variable inputs are called Variable Costs.

    Eg. Payments for certain types of labour, raw materials..

    The behaviour of the costs are studied under a ShortRun and a Long Run time period.

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    Short Run Total Costs

    In the short run the levels of use of certain inputs are fixed and thecost related to these have to be paid regardless of the level of theoutput. Other costs vary over time.

    Total Fixed Cost: TFC is the sum of the shortrun fixed costs that must be paid regardlessof the level of the output produced.

    Total Variable Cost: TVC is the sum of theamounts spent for each of the variable

    inputs used. Total Cost: TC: Short run TC, which also

    increases as output increases, is the sum oftotal fixed cost and total variable cost.

    12/09/11EFM Faculty P.Uday Shankar

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    Short Run Total Cost Schedule

    1 2 3 4

    Output (Q) Total Fixed CostTFC) Rs

    Total VariableCost (TVC) Rs

    Total Cost (TC)=TFC+TVC-Rs

    0 6000 0 6000

    100 6000 4000 10000

    200 6000 6000 12000

    300 6000 9000 15000

    400 6000 14000 20000

    500 6000 22000 28000

    600 6000 34000 40000

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    Total Cost Curves

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    0

    5000

    10000

    15000

    20000

    25000

    30000

    35000

    40000

    45000

    1 2 3 4 5 6

    Total Fixed Cost TFC) Rs

    Total Variable Cost (TVC) Rs

    Total Cost (TC)=

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    Average and Marginal Costs

    1 2 3 4 5

    Output (Q) Average FixedCost(AFC)=TFC/Q

    AverageVariableCost (AVC)

    AVC=TVC/Q

    AverageTotal Cost(ATC)=TC/Q

    Short RunMarginalCost (SMC)SMC=TC/

    Q0 - - -

    100 60 40 100 40

    200 30 30 60 20

    300 20 30 50 30

    400 15 35 50 50

    500 12 44 56 80

    600 10 56.7 66.7 120

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    Average and Marginal Cost Curves

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    0

    20

    40

    60

    80

    100

    120

    140

    1 2 3 4 5 6

    AVC

    ATC

    SMC

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    Short Run Marginal Cost

    Short Run Marginal Cost (SMC) is the changein either total variable cost or total cost perunit change in output.

    SMC= TVC = TCQ Q

    It can be seen that MC first declines and reaches a minimum of Rs20 and then rises. Note that MC is attained at an output between 100and 200 below of what AVC and ATC attain their minimums.

    Marginal cost equals AVC and ATC at their respective minimumlevels.

    12/09/11EFM Faculty P.Uday Shankar

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    Looking back

    Qd = f(P,M,PR, T,Pe,N) Demand Curve

    Demand Curve Shift

    Qs =g(P,Pi,Pr,T,Pe,F)

    Supply Curve

    Supply Curve shift

    Market Equilbrium

    Q= f(X1,X2,X3,.., Xn)

    Q=f(L,K)

    Q= f(L,) Production Function marginal product

    (MP will equal AP when AP is at its maximum)

    Short Run Marginal Cost.

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    Short run production and short run costs

    SHORT RUNPRODUCTION

    SHORT RUN TOTAL COSTS

    Labour (L) Output (Q) TotalVariable

    Cost (TVC)

    TVC= wL(1000xL)

    Total FixedCost (TFC)

    TFC= rK

    Total Cost(TC)

    TC= wL+rK

    0 0 0 6000 6000

    4 100 4000 6000 10000

    6 200 6000 6000 12000

    9 300 9000 6000 15000

    14 400 14000 6000 20000

    22 500 22000 6000 28000

    34 600 34000 6000 40000

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    Average and Marginal relations between Cost and Production

    Short run production Short run cost

    Labour(L)

    Output(Q)

    AP = Q/L MP=Q/L

    AVC SMC

    0 0 - - - -

    4 100 25 25 40 40

    6 200 33.33 50 30 20

    9 300 33.33 33.33 30 30

    14 400 28.57 20 35 50

    22 500 22.73 12.5 44 80

    34 600 17.65 8.33 56.67 120

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    Production and Cost in the Long Run

    Q=f(L,K)

    Isoquant: An isoquant is a curve (or locus ofpoints) showing all possible combinations of

    the inputs physically capable of producing agiven (fixed) level of output. ( Pic Pg 346).

    Isocost Curve: An isocost curve allcombinations of inputs that may be purchased

    for a given level of total expenditure at giveninput prices. ( Pic Pg 350)

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    05/09/2011EFM Faculty P.Uday Shankar 14

    Units oflabour(L)

    Units of Capital (K)

    0 1 2 3 4 5 6 7 8 9 10

    0 0 0 0 0 0 0 0 0 0 0 0

    1 0 25 52 74 90 100 108 114 118 120 121

    2 0 55 112 162 198 224 242 252 258 262 264

    3 0 83 170 247 303 342 369 384 394 400 403

    4 0 108 220 325 400 453 488 511 527 535 540

    5 0 125 258 390 478 543 590 631 653 663 670

    6 0 137 286 425 523 598 655 704 732 744 753

    7 0 141 304 453 559 643 708 766 800 814 825

    8 0 143 314 474 587 679 753 818 857 873 885

    9 0 141 318 488 609 708 789 861 905 922 935

    10 0 137 314 492 617 722 809 887 935 953 967

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    Thanks

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