7b5f53 Analysis of Cost and Revenue 25-04

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    Analysis of Cost andRevenue

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    Short runA period of time so short that the firm cannot

    alter the quantity of some of its inputs

    Typically plant and equipment are fixedinputs in the short run

    Fixed inputs determine the scale of thefirms operation

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    SHORT-RUN COSTS

    Fixed costs and variable costs

    Total costs Short run fixed cost (SFC)

    Short run variable cost (SVC)

    Short run total cost (STC = SFC + SVC)

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    Costs In buying factor inputs, the firm

    will incur costs

    Costs are classified as:

    Fixed costs costs that are not relateddirectly to production rent, rates,insurance costs, admin costs. They canchange but not in relation to output

    Variable Costs costs directly relatedto variations in output. Raw materialsprimarily

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    Costs Total Cost -the sum of all costs incurred

    in production

    TC = FC + VC Average Cost the cost per unit

    of output

    AC = TC/Output Marginal Cost the cost of one more or

    one fewer units of production

    MC= TC n

    TCn-1 units

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    Output Fixedcost

    SFC

    Variablecost

    SVC

    Total cost

    STC

    Marginalcost

    SMC

    Averagecost

    SAC

    0 30 0 30

    1 30 22 52 22 52

    2 30 38 68 16 34

    3 30 48 78 10 26

    4 30 61 91 13 22.75

    5 30 79 109 18 21.80

    6 30 102 132 23 22

    7 30 131 161 29 23

    8 30 166 196 35 24.50

    9 30 207 237 41 26.33

    10 30 255 285 48 28.50

    Example

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    0

    20

    40

    60

    80

    100

    0 1 2 3 4 5 6 7 8

    STC

    TVC

    SFC

    Total costs for firm X

    SVC

    f f

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    0

    20

    40

    60

    80

    100

    STC

    TVC

    SFC

    Total costs for firm X

    Diminishing marginalreturns set in here

    SVC

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    Output (Q)

    Costs(

    )

    SAFC

    SAVC

    SMC

    x

    SAC

    z

    y

    Average and marginal costs

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    Marginal and Average CostsAs Q increases if

    MCAC AC is rising

    So, when MC=AC AC is at its

    minimum The above also applies to MC and

    AVC

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    Long-run Cost Curves Long-run cost curves all factors are variable, so

    there are no fixed costs and all costs are variable. Economies and diseconomies of scale

    benefits to a larger scale of operations

    specialization, purchasingvolume, efficient use of capital, design and development costs

    costs of a larger scale of operation coordination problems

    LR cost curves are U-shaped if a productionprocess is characterized by first by economies ofscale, and then diseconomies of scale.

    Since capital can be varied, the long-run costcurves describe the costs with changing the scaleof operations (reducing or increasing plant size).

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    The long-run cost curve is constructed from

    various short-run cost curves.

    Remember increasing capital makes labor moreproductive, so increase plant size makes labormore productive and decreases marginal costs

    Even though marginal costs decline, average

    costs may go up or down because of the cost ofcapital and labor are added together to calculateaverage costs.

    Fi 7 A T t l C t i th Sh t d L

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    Figure 7 Average Total Cost in the Short and LongRun

    Copyright 2004 South-Western

    Quantity ofCars per Day

    0

    AverageTotalCost

    1,200

    $12,000

    ATC in shortrun with

    small factoryATC in short

    run withmedium factory

    ATC in shortrun with

    large factory

    ATC in long run

    Fi 7 A T t l C t i th Sh t d L

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    Figure 7 Average Total Cost in the Short and LongRun

    Copyright 2004 South-Western

    Quantity ofCars per Day

    0

    AverageTotalCost

    1,200

    $12,000

    1,000

    10,000Economies

    ofscale

    ATC in shortrun with

    small factoryATC in short

    run withmedium factory

    ATC in shortrun with

    large factory ATC in long run

    Diseconomiesof

    scale

    Constantreturns to

    scale

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    OutputO

    Co

    sts

    Long-run average and marginal costs

    LRMC

    LRAC

    Initial economies of scale,then diseconomies of scale

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    Short-Run & Long-Run Marginal Cost Curves

    AC(y)

    MC(y)$/output unit

    y

    SRMCs

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    Revenue

    Total revenue the total amount receivedfrom selling a given output

    TR = P x QAverage Revenue the average amount

    received from selling each unit

    AR = TR / Q

    Marginal revenue the amount receivedfrom selling one extra unitof output

    MR = TRn TRn-1 units

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    Profit

    Profit = TR TC

    The reward for enterprise Profits help in the process of directing

    resources to alternative uses in free

    markets Relating price to costs helps a firm to

    assess profitability in production

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    Profit

    Normal Profit the minimum amount required tokeep a firm in its current line of production

    Abnormal or Supernormal profit

    profit madeover and above normal profit

    Abnormal profit may exist in situations wherefirms have market power

    Abnormal profits may indicate the existence ofwelfare losses

    Could be taxed away without altering resourceallocation

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    Profit

    Sub-normal Profit profit belownormal profit

    Firms may not exit the market even if sub-

    normal profits made if they are able to

    cover variable costs

    Cost of exit may be high

    Sub-normal profit may be temporary (or

    perceived as such!)

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    Profit

    Assumption that firms aim to maximise

    profit

    May not always hold true

    there are other objectives

    Profit maximising output would bewhere MC = MR