Costs Concepts Class Slides

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    Costs concepts

    Study of behavior of cost in relation toproduction, size of output, scale of

    operations, prices of factors ofproduction.

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    Determinants of costs

    1. Laws of returns ie incase of incresing returnsthe cost is less and incase of decresing returnsit is incresing.

    2. Costs is effected by the size of plant.3. Time period longer the time period costs would

    rise slowly whereas in case of short runproduction the initial cost would be high.

    4. Technology.5. Size of plant ,incase of bigger lot the cost per

    unit would be less.

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    Types of costs

    1. Accounting costs

    2. Opportunity costs

    3. Fixed cost and the variable costs

    4. Business costs -all costs incurred to carry the business, whereasthe full costs includes business ,opportunity, and the normal profit.

    5. Incremental costs are the total additional costs needed to expandthe production.

    6. Sunk costs are the costs which have already been incurred andcannot be recovered, nor altered ,increased or decreased byvarying the rate of output.

    7. Private costs which are actually borne by the firm for the

    production process whereas8. Social costs are the costs which the society has to bear while the

    production process takes place eg effluents into the river by therifineries.

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    Costs in the Short Run

    The short run is a period of timefor which two conditions hold:1. The firm is operating under a fixed

    scale (fixed factor) of production, and2. Firms can neither enter nor exit an

    industry.

    In the short run, all firms havecosts that they must bearregardless of their output. Thesekinds of costs are called fixedcosts.

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    Costs in the Short Run

    Fixed costis any cost that does not

    depend on the firms level of output.

    These costs are incurred even if the

    firm is producing nothing.

    Variable costis a cost that depends

    on the level of production chosen.

    TC TFC TVC ! Total Cost = Total Fixed + Total Variable

    Cost Cost

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    Fixed Costs

    Firms have no control over fixedcosts in the short run. For thisreason, fixed costs aresometimes called sunk costs.

    Average fixed cost (AFC) is thetotal fixed cost (TFC) divided by

    the number of units of output (q):

    AFCTFC

    q!

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    Short-Run Fixed Cost (Total and

    Average) of a Hypothetical Firm

    AFC falls as output

    rises; a phenomenon

    sometimes called

    spreading overhead.

    (1)q

    (2)TFC

    (3)AFC(TFC/q)

    0 $1,000 $

    1 1,000 1,000

    2 1,000 500

    3 1,000 333

    4 1,000 250

    5 1,000 200

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    Variable Costs

    The total variable cost curve is agraph that shows the relationship

    between total variable cost and the

    level of a firms output. The total variableThe total variable

    cost is derived fromcost is derived from

    productionproduction

    requirements andrequirements andinput prices.input prices.

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    Marginal Cost

    Marginal cost (MC) is the increase in total cost thatresults from producing one more unit of output.

    Marginal cost reflects changes in variable costs.

    Change in fixed cost is zero in the short run.

    MC TCQ

    TFCQ

    TVCQ

    ! !

    (

    (

    (

    (

    (

    (

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    Derivation ofMarginal Cost from

    TotalV

    ariable CostUNITSOFOUTPUT

    TOTAL VARIABLECOSTS ($)

    MARGINALCOSTS ($)

    0 0 0

    1 10 10

    2 18 8

    3 24 6

    Marginal costmeasures the

    additionalcost of inputs required

    to produce each successive unit of

    output.

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    The Shape of the Marginal Cost

    Curve in the Short Run The fact that in the short run everyfirm is controlled by some fixed input

    means that:

    1. The firm faces diminishing returns to

    variable inputs, and

    2. The firm has limited capacity to

    produce output. As a firm approaches that capacity,

    it becomes increasingly costly to

    produce successively higher levels

    of out ut.

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    The Shape of the Marginal Cost

    Curve in the Short Run Marginal costs ultimately increase

    with output in the short run.

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    Graphing Total Variable Costs

    andM

    arginal Costs Total variable costsalways increase with

    output. The marginal

    cost curve shows how

    total variable cost

    changes with single unit

    increases in total output.

    Below 100

    units of output,Below 100

    units of output,TVCTVCincreases at aincreases at a

    decreasing ratedecreasing rate. Beyond 100. Beyond 100

    units of output,units of output, TVCTVCincreasesincreases

    at anat an increasing rate.increasing rate.

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    Average Variable Cost

    Average variable cost (AVC) is

    the total variable cost divided by

    the number of units of output. Marginal cost is the cost ofone

    additional unit. Average variable

    cost is the average variable costper unit ofall the units being

    produced.

    Average variable cost follows

    marginal cost, but lags behind.

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    Total Costs

    the total cost curve hasthe total cost curve has

    the same shape as thethe same shape as the

    total variable costtotal variable cost

    curve; it is simplycurve; it is simply

    higher by an amounthigher by an amount

    equal toequal to TFCTFC..

    TC TFC TVC !

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    Average Total Cost

    Average total cost(ATC) is total costdivided by the number

    of units of output (q).ATC AFC AVC!

    ATCTC

    q

    TFC

    q

    TVC

    q

    ! !

    BecauseBecause AFCAFCfalls withfalls withoutput, an everoutput, an ever--decliningdecliningamount is added toamount is added to AVCAVC..

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    Relationship Between Average

    Total Cost and Marginal Cost1. ATC is the summation

    of AVC and AFC.

    2.In the biggning AVCandAFC falls hence the

    ATC falls sharply.3.MC also falls and is

    below than AVC in theinitial stage,reches

    minimum and thenrises.

    4.ATC falls reachesminimum and then

    rises.

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    Output Decisions: Revenues,

    Costs, and ProfitM

    aximization In the short run, a competitive firm faces a

    demand curve that is simply a horizontal

    line at the market equilibrium price.

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    Total Revenue (TR) and

    Marginal Revenue (MR)

    Total revenue (TR) is the total amount that

    a firm takes in from the sale of its output.

    TR P q! v

    MRTR

    q! !

    P q

    q

    ( )(

    (

    Marginal revenue (MR)Marginal revenue (MR) is the additional revenueis the additional revenue

    that a firm takes in when it increases output bythat a firm takes in when it increases output by

    one additional unit.one additional unit.

    In perfect competition,In perfect competition, P= MRP= MR..

    ! P

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    Comparing Costs and

    Revenues toM

    aximize Profit The profit-maximizing level of output forall firms is the output level where MR=MC.

    In perfect competition, MR= P, therefore,the profit-maximizing perfectlycompetitive firm will produce up to thepoint where the price of its output is just

    equal to short-run marginal cost. The key idea here is that firms will

    produce as long as marginal revenueexceeds marginal cost.

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    Profit Analysis for a Simple Firm

    (1)q

    (2)TFC

    (3)TVC

    (4)MC

    (5)P= MR

    (6)TR

    (Px q)

    (7)TC

    (TFC+ TVC)

    (8)PROFIT

    (TR TC)

    0 $ 10 $ 0 $ $ 15 $ 0 $ 10 $ -10

    1 10 10 10 15 15 20 -52 10 15 5 15 30 25 5

    3 10 20 5 15 45 30 15

    4 10 30 10 15 60 40 20

    5 10 50 20 15 75 60 15

    6 10 80 30 15 90 90 0

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    The Short-Run Supply Curve

    At any market price, the marginal cost curve shows the

    output level that maximizes profit. Thus, the marginal

    cost curve of a perfectly competitive profit-maximizing firmis the firms short-run su l curve.