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EC4004 Lecture 9
   Production




            Dr Stephen Kinsella
Last Time
Game Theory
{Players, Strategies, Payoffs}
Nash Eqm,
Subgame Perf . Eqm
Backward Induction
         Prisoner’s Dilemma
           Matching Pennies
              Battle of Sexes
Production.
?
Production
 Function
production function, a mathematical
relationship between inputs and outputs.
Combine Capital
Combine Capital
Combine Capital
Combine Capital and
     Labour
Combine Capital and
 Labour to produce
      output
q :output of a particular good during a period,
K: capital used
L: labour input
M: raw materials
Marginal
Products
Diminishing
  Marginal
   Product
Relationship between Output and Labour Inputs
        Holding Other Inputs Constant

  Output                             Total
 per week                            Output




              (a) Total output L*   Labor input
    MPL                               per week




                               L*
            (b) Marginal product     Labor input per week
Isoquant Maps
Capital
per week



     KA
            A




     KB
                     B        q = 10

                                       Labour
        0       LA       LB            per week
Capital
per week


       KA
                A

                                           q = 30

                                      q = 20
       KB
                         B        q = 10

                                                    Labour
            0       LA       LB                     per week
Rate of Technical
  Substitution
The RTS and Marginal
      Products
Demo
Remember:



Diminishing Marginal Utility,
Indifference Curves,
Marginal Rate of Substitution
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
Next Time
     Costs
Do 7.1, 7.2, 7.7
Read Chapter 8
EC4004 Lecture 9
   Production




            Dr Stephen Kinsella

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EC4004 2008 Lecture 9 Production