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EC4004 Lecture 10: Costs
          Dr. S. Kinsella
Dates: October 17th -24th
Best of 2 attempts
10% of Final Grade
Yesterday
Production Function
Marginal Products
Diminishing Marginal
    Productivity
Isoquants
Marginal Rate of
Technical substitution
Today: Returns to
  Scale; Costs
Constant Returns to Scale
A
 Capital
per week

    4
                          q = 40
    3
                         q = 30
    2
                       q = 20
    1
                     q = 10
     0     1   2   3 4            Labor
                                  per week

        (a) Constant Returns to Scale
Decreasing Returns to
       Scale
A              Capital                   A
 Capital
per week                                     per week

    4                                             4
                          q = 40
    3                                             3                  q = 30
                        q = 30
    2                                             2
                       q = 20                                    q = 20
    1                                             1
                     q = 10                                   q = 10
                                  Labor                                    Labor
     0     1   2   3 4            per week         0 1   2   3 4           per week

        (a) Constant Returns to Scale              (b) Decreasing Returns to Scale
Increasing Returns to
        Scale
Capital
per week
                                 A



     K2                          q2


     K1                     q1


     K0               q0



                                      Labor
        0   L0   L1    L2             per week
Technical Change
  Capital
per week

       K1




       K0

                       A
                                      q0

                                q’0
                                           Labor
            0     L1       L0              per week
Opportunity cost: cost of a good as
measured by the alternative uses foregone
by producing good or service.
Accounting cost: concept that goods or
services cost what was paid for them.
Economic cost: amount required to keep a
resource in its present use; the amount that
it would be worth in its next best alternative
use.
Labour Costs




   Wage, w
The cost of capital services (machine-
hours) is the rental rate (v) which is
the cost of hiring one machine for one
hour.
Economic profit is revenue minus all
costs including these entrepreneurial
costs.
Total costs = TC = wL + vK.         (8.1)
Assuming the firm produces only one
output, total revenue equals the price of
the product (P) times its total output [q
= f(K,L) where f(K,L) is the firm’s
production function].
Economic profits (π):
     Difference between a firm’s total
revenues and its total economic costs.
Minimizing the Costs of
                            Producing q1

  Capital
per week


                 TC1
                       TC2

                             TC3



        K*

                                   q1
                                        Labor
             0   L*                     per week
Cost minimization requires that the
marginal rate of technical substitution
(RTS) of L for K equals the ratio of the
inputs’ costs, w/v:
The firm’s expansion path is the set
of cost-minimizing input
combinations a firm will choose to
produce various levels of output
(when the prices of inputs are held
constant).
Firm’s Expansion Path

  Capital
per week

                TC1      TC3
                  TC2
                                         Expansion path




                                    q3
      K1                       q2
                         q1
                                                 Labor
            0   L1                               per week
Cost Curves
Possible Shapes of the Total Cost
              Curve
Total                  TC                     Total                TC
 cost                                          cost




                              Quantity                                   Quantity
        0                                             0                  per week
                              per week
    (a) Constant Returns to Scale                     (b) Decreasing Returns to Scale
                                                                    TC
 Total                                        Total
  cost                       TC                cost




                                 Quantity             0                   Quantity
            0                                                             per week
                                 per week
            (c) Increasing Returns to Scale               (d) Optimal Scale
Average Costs

Average cost is total cost divided by output; a
common measure of cost per unit.
If the total cost of producing 25 units is €100, the
average cost would be:


                AC = €100/25 = €4
Marginal Cost


The additional cost of producing one
more unit of output is marginal cost.
If the cost of producing 24 units is €98
and the cost of producing 25 units is
€100, the marginal cost of the 25th
unit is €2.
Average and Marginal Cost Curves
AC, MC                                     AC, MC                   MC
                                                                     AC


                            AC, MC


                             Quantity                                       Quantity
         0                                          0                       per week
                             per week
         (a) Constant Returns to Scale              (b) Decreasing Returns to Scale

                                           AC, MC                        AC
AC, MC                                                              MC




                       AC
                       MC                                                     Quantity
                              Quantity              0          q*             per week
         0                    per week
         (c) Increasing Returns to Scale                (d) Optimal Scale
Shifts in Cost Curves
Any change in economic conditions
that affects the expansion path will
also affect the shape and position of
the firm’s cost curves.
Three sources of such change are:
change in input prices
technological innovations, and
economies of scope.
Next Time

Production & Supply
Chapter 9, Do Ex. 81,
      8.3, 8.7
Survey
EC4004 Lecture 10: Costs
          Dr. S. Kinsella

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EC4004 Lecture 10: Costs

  • 1. EC4004 Lecture 10: Costs Dr. S. Kinsella
  • 2. Dates: October 17th -24th Best of 2 attempts 10% of Final Grade
  • 6. Diminishing Marginal Productivity
  • 9. Today: Returns to Scale; Costs
  • 11. A Capital per week 4 q = 40 3 q = 30 2 q = 20 1 q = 10 0 1 2 3 4 Labor per week (a) Constant Returns to Scale
  • 13. A Capital A Capital per week per week 4 4 q = 40 3 3 q = 30 q = 30 2 2 q = 20 q = 20 1 1 q = 10 q = 10 Labor Labor 0 1 2 3 4 per week 0 1 2 3 4 per week (a) Constant Returns to Scale (b) Decreasing Returns to Scale
  • 15.
  • 16. Capital per week A K2 q2 K1 q1 K0 q0 Labor 0 L0 L1 L2 per week
  • 17. Technical Change Capital per week K1 K0 A q0 q’0 Labor 0 L1 L0 per week
  • 18. Opportunity cost: cost of a good as measured by the alternative uses foregone by producing good or service. Accounting cost: concept that goods or services cost what was paid for them. Economic cost: amount required to keep a resource in its present use; the amount that it would be worth in its next best alternative use.
  • 19. Labour Costs Wage, w
  • 20. The cost of capital services (machine- hours) is the rental rate (v) which is the cost of hiring one machine for one hour.
  • 21. Economic profit is revenue minus all costs including these entrepreneurial costs.
  • 22. Total costs = TC = wL + vK. (8.1) Assuming the firm produces only one output, total revenue equals the price of the product (P) times its total output [q = f(K,L) where f(K,L) is the firm’s production function].
  • 23. Economic profits (π): Difference between a firm’s total revenues and its total economic costs.
  • 24. Minimizing the Costs of Producing q1 Capital per week TC1 TC2 TC3 K* q1 Labor 0 L* per week
  • 25. Cost minimization requires that the marginal rate of technical substitution (RTS) of L for K equals the ratio of the inputs’ costs, w/v:
  • 26. The firm’s expansion path is the set of cost-minimizing input combinations a firm will choose to produce various levels of output (when the prices of inputs are held constant).
  • 27. Firm’s Expansion Path Capital per week TC1 TC3 TC2 Expansion path q3 K1 q2 q1 Labor 0 L1 per week
  • 29. Possible Shapes of the Total Cost Curve Total TC Total TC cost cost Quantity Quantity 0 0 per week per week (a) Constant Returns to Scale (b) Decreasing Returns to Scale TC Total Total cost TC cost Quantity 0 Quantity 0 per week per week (c) Increasing Returns to Scale (d) Optimal Scale
  • 30. Average Costs Average cost is total cost divided by output; a common measure of cost per unit. If the total cost of producing 25 units is €100, the average cost would be: AC = €100/25 = €4
  • 31. Marginal Cost The additional cost of producing one more unit of output is marginal cost. If the cost of producing 24 units is €98 and the cost of producing 25 units is €100, the marginal cost of the 25th unit is €2.
  • 32. Average and Marginal Cost Curves AC, MC AC, MC MC AC AC, MC Quantity Quantity 0 0 per week per week (a) Constant Returns to Scale (b) Decreasing Returns to Scale AC, MC AC AC, MC MC AC MC Quantity Quantity 0 q* per week 0 per week (c) Increasing Returns to Scale (d) Optimal Scale
  • 33. Shifts in Cost Curves Any change in economic conditions that affects the expansion path will also affect the shape and position of the firm’s cost curves. Three sources of such change are: change in input prices technological innovations, and economies of scope.
  • 34. Next Time Production & Supply Chapter 9, Do Ex. 81, 8.3, 8.7
  • 36.
  • 37. EC4004 Lecture 10: Costs Dr. S. Kinsella