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    The Theory of the Firm

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    Production Function

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    Production Function States the relationship between inputs and

    outputs

    Inputs the factors of production classifiedas: Land all natural resources of the earth not just

    terra firma! Price paid to acquire land = Rent

    Labour all physical and mental human effortinvolved in production

    Price paid to labour = Wages

    Capital buildings, machinery and equipmentnot used for its own sake but for the contributionit makes to production

    Price paid for capital = Interest

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    Production Function

    Inputs Process Output

    Land

    Labour

    Capital

    Product orservice

    generated

    value added

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    Analysis of Production Function:Short Run

    In the short run at least one factor fixed in supply

    but all other factors capable of being changed Reflects ways in which firms respond to changes

    in output (demand)

    Can increase or decrease output using more or lessof some factors but some likely to be easier

    to change than others

    Increase in total capacity only possiblein the long run

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    Analysis of Production Function:Short Run

    In times of risingsales (demand)firms can increaselabour and capitalbut only up to acertain level they will be limitedby the amount ofspace. In thisexample, land is

    the fixed factorwhich cannot bealtered in theshort run.

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    Analysis of Production Function:Short Run

    If demand slows

    down, the firm canreduce its variablefactors in thisexample it reducesits labour andcapital but again,land is the factorwhich stays fixed.

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    Analysis of Production Function:Short Run

    If demand slows

    down, the firm canreduce its variablefactors in thisexample, itreduces its labourand capital butagain, land is thefactor which staysfixed.

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    Analysing the ProductionFunction: Long Run

    The long run is defined as the period of time taken to vary allfactors of production

    By doing this, the firm is able to increase its totalcapacity not just short term capacity

    Associated with a change in the scale of production

    The period of time varies according to the firmand the industry

    In electricity supply, the time taken to build new capacitycould be many years; for a market stall holder, the longrun could be as little as a few weeks or months!

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    Analysis of Production Function:Long Run

    In the long run, the firm can change all its factors of production thusincreasing its total capacity. In this example it has doubled its capacity.

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    Production Function

    Mathematical representationof the relationship:

    Q = f (K, L, La)

    Output (Q) is dependent upon theamount of capital (K), Land (L)

    and Labour (La) used

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    Costs

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    Costs

    In buying factor inputs, the firmwill incur costs

    Costs are classified as: Fixed costs costs that are not related

    directly 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 costsincurred in production

    TC = FC + VC Average Cost the cost per unitof output

    AC = TC/Output

    Marginal Cost the cost of one moreor one fewer units of production

    MC= TCn TCn-1 units

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    Costs

    Short run Diminishing marginalreturns results from adding

    successive quantities of variablefactors to a fixed factor

    Long run Increases in capacity

    can lead to increasing, decreasingor constant returns to scale

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    Revenue

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    Revenue Total revenue the total amount

    received from selling a given output

    TR = P x Q

    Average Revenue the averageamount received from selling each unit

    AR = TR / Q

    Marginal revenue the amountreceived from selling one extra unitof output

    MR = TRn TRn-1 units

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    Profit

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    Profit

    Profit = TR TC

    The reward for enterprise

    Profits help in the process ofdirecting resources to alternativeuses in free markets

    Relating price to costs helps a firmto assess profitability in production

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    Profit Normal Profit the minimum amount

    required to keep a firm in its currentline of production

    Abnormal or Supernormal profit profit made over and above normalprofit Abnormal profit may exist in situations

    where firms have market power

    Abnormal profits may indicate the existenceof welfare losses

    Could be taxed away without alteringresource allocation

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    Profit

    Sub-normal Profit profit belownormal profit

    Firms may not exit the market even ifsub-normal profits made if they areable to cover variable costs

    Cost of exit may be highSub-normal profit may be temporary

    (or perceived as such!)

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    Profit

    Assumption that firms aim tomaximise profit

    May not always hold true there are other objectives

    Profit maximising output would be

    where MC = MR

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    ProfitWhy?

    Cost/Revenue

    Output

    MR

    MR the additionto total revenue asa result ofproducing one

    more unit ofoutput the pricereceived fromselling that extraunit.

    MCMC The costof producingONE extra unit

    of production

    100

    Assume output is at100 units. The MC ofproducing the 100thunit is 20.

    The MR received from

    selling that 100th unitis 150. The firm canadd the difference ofthe cost and therevenue received fromthat 100th unit toprofit (130)

    20

    150

    Totaladded

    toprofit

    If the firm decides toproduce one more unit the 101st the additionto total cost is now 18,the addition to total

    revenue is 140 the firmwill add 128 to profit. itis worth expandingoutput.

    101

    18

    140

    Added tototalprofit

    30

    120

    Addedto totalprofit

    The process continuesfor each successiveunit produced.Provided the MC isless than the MR it

    will be worthexpanding output asthe differencebetween the two isADDED to total profit

    102

    40

    145

    104103

    Reducestotalprofit bythisamount

    If the firm were toproduce the 104th unit,this last unit would costmore to produce than itearns in revenue (-105)this would reduce totalprofit and so would notbe worth producing.

    The profit maximisingoutput is where MR =MC