Overheads on Costs
ECOn 201 - 4
October 29, 2001

Costs of production
  • Opportunity cost of production = what you sacrifice to produce something.
  • Opportunity costs are either explicit or implicit
    • Explicit costs are opportunity costs of imputs the firm purchases from others. Actual monetary payments measure the cost.
    • Implicit costs are the opportunity costs of using a firm's own imputs (no purchase required) as measured by the value of the alternative foregone.
      • Opportunity cost of entrepreneur's time = foregone wage or salary income
      • Opportunity cost of funds = lost interest could have earned

Example
  • Which are explicit and which are implicit?
    • To get started, a business owner used $7,500 of his own funds to buy supplied. These funds could have earned 10% if invested in a financial asset of equal risk.
    • Yearly rental on the store = $4800
    • Cost of goods from wholesaler = $50,000
    • Wages paid to employees = $18,000
    • Onwer quits his previous job paying $21,000 per year to operate his own store.
    • Electricity, advertising, etc. = $1,200
  • Explicit costs = 4,800 + 50,000 + 18,000 + 1,200 = $74,000
    Implicit costs = $750 + 21,000 = 21,750
    Total costs = $95,750

Costs in the Short Run
  • Fixed inputs (capital, entrepreneurship) give rise ot fixed costs = costs which remain the same regardless of the level of output.
  • Variable inputs (labor, materials) give rise of variable costs = costs which change as the level of output changes.
  • Total costs = Fixed costs + variable costs.

LaborMaterialsOutputMP
000-
1611
21221
3152.50.5
41830.5
5203.330.33
6223.670.33
72440.33

OutputLabor Costs (wxL)Material Costs (pxM)TVC Labor + materialsTFCTCMC
00x$50 = 00x$5=00+0=0$7575--
11x50=506x5=3050+30=807515580
22x50=10012x5=60100+60=1607523580
34x50=20018x5=90200+90=29075365130
47x50=35024x5=120350+120=47075545180

Rising Marginal Costs
  • Marginal cost is the additional cost associated with producing an extra uit of the product. MC= change in total costs / change in output.
  • Because each additional workers adds less to output (diminishing returns), it will require progressively greater increases inthe workforce to get output to increase by one.
  • Consequently, the extra labor costs and hence marginal costs of an extra unit of output rise as production increases. The marginal cost curve is (eventually upward-sloping).

Short Run Costs
  • Specialization may lead to MC which declines as output increases; eventually, diminishing returns will cause the MC curve to be upward-sloping.
  • Rising marginal cost leads to accelerating variable costs and total costs-- the variable costs and total cost curve become steeper as output increases.
    • Fixed costs do not change whatever output is produced in the short run.

  • Average total cost is total cost divided by output or cost per unit.
  • When MC < ATC, ATC declines; when MC > ATC, ATC is rising; when ATC is at a minimum when MC = ATC.
  • Rising marginal cost leads to increasing cost per unit and average variable cost per unit as output increases.
  • Average or per unit fixed costs decline ("spreading the overhead")

Some Identities
  • TC = FC + TVC
  • SATC = TC / Q; SAVC = TVC /Q; AFC = FC/Q
  • ATC = AVC + AFC
  • MC = change in TC/ change in Q = change in TVC /change in Q

Production in the Long Run
  • All inputs are variable in the long run so all costs are variable costs in the long run. There are no long run fixed costs.
  • The law of diminishing returns does not apply in the long run as no inputs are fixed

Economies of Scale
  • Doubling all inputs yields more than double the output. Doubling the output requires less than double the inputs.
  • Cost per unit (LAC) falls as output rises.
  • Reasons for: Indivisible inputs (lumpiness)
    Specialization
    Multiplicative relation of inputs
    Use of by products
    Financial economies--volume discounts

Long Run Costs
  • Eventually economies of scale end. Then, doubling all inputs yields double the output (constant returns to scale). Cost per unit is constant as output increases.
  • Further increases in output take more than proportionate increases in some inputs. Cost per unit rise as output increases.
    Problems of coordinating large organizations require proprotionately more management resources.

Marginal Revenue
  • Total revenue is what the firms gets from selling its product. Total revenue is the firm's receipts or dollar sales. Total revenue is NOT the same as profit.
  • The marginal benefit to a firm from producing an additional unit is the extra revenue the firm gets from the sale of that unit.
  • Marginal revenue is the change in the firm's total revenue as a result of selling an additional unit. MR = change in (pQ) / change in Q where Q is output.
  • How marginal revenue changes as output changes depends on the type of market the firm sells in.

Perfect Competition
  • Characteristics of the industry
    • A very large number of firms selling and a very large number of buyers
    • Identical products -- buyers can't distinguish among the products of different firms.
    • Easy entry and exit -- no legal or significant economic barriers to new firms beginning production.
  • Example: corn, wheat

Revenues under Perfect Competition
  • Perfectly competitive firms are price takers.
    • Each firm is too small for its action to change the market price.
    • A firm can sell all it wants without changing the market price and none at any higher price.
  • The marginal revenue (marginal benefit) the firm gets from an additional unit equals the market price.


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