Managerial Economics-Charles W. Upton Competition and Monopoly I A Problem.

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Presentation transcript:

Managerial Economics-Charles W. Upton Competition and Monopoly I A Problem

Competition and Monopoly I The Problem – Part I The industry demand curve for widgets is Q = P.

Competition and Monopoly I The Problem – Part I The industry demand curve for widgets is Q = P. Forty plants produce widgets with costs q 2

Competition and Monopoly I The Problem – Part I The industry demand curve for widgets is Q = P. Forty plants produce widgets with costs q 2 Find P, Q and .

Competition and Monopoly I Demand and Supply We know industry demand Q = 600 – 10P

Competition and Monopoly I Demand and Supply We know industry demand Q = 600 – 10P We must find industry supply. The cost function is q 2  MC = 6q

Competition and Monopoly I Finding Firm Supply We know industry demand Q = 600 – 10P We must find industry supply. The cost function is q 2  MC = 6q

Competition and Monopoly I Finding Firm Supply We know industry demand Q = 600 – 10P We must find industry supply. The cost function is q 2  MC = 6q Each firm produces where MC = P

Competition and Monopoly I Finding Firm Supply We know industry demand Q = 600 – 10P We must find industry supply. The cost function is q 2  MC = 6q Each firm produces where MC = P 6q =P

Competition and Monopoly I Finding Firm Supply We know industry demand Q = 600 – 10P We must find industry supply. The cost function is q 2  MC = 6q Each firm produces where MC = P 6q =P q=P/6

Competition and Monopoly I Finding Industry Supply q = P/6

Competition and Monopoly I Finding Industry Supply q = P/6 Industry Supply is then forty times that or Q = 40P/6

Competition and Monopoly I Finding Industry Supply q = P/6 Industry Supply is then forty times that or Q = 40P/6 Equate Demand and Supply D=S=40P/6

Competition and Monopoly I Finding Price D=S=40P/ P=40P/6

Competition and Monopoly I Finding Price P = 40P/6

Competition and Monopoly I Finding Price P = 40P/6 3600–60P = 40P

Competition and Monopoly I Finding Price P = 40P/6 3600–60P = 40P 3600 = 100 P

Competition and Monopoly I Finding Price P = 40P/6 3600–60P = 40P 3600 = 100 P 100 P = 3600 P = 36

Competition and Monopoly I Finding Quantity P = 40P/6 3600–60P = 40P 3600 = 100 P 100 P = 3600 P = 36 Q = P

Competition and Monopoly I Finding Quantity P = 40P/6 3600–60P = 40P 3600 = 100 P 100 P = 3600 P = 36 Q = P Q = 600 – 10(36)

Competition and Monopoly I Finding Quantity P = 40P/6 3600–60P = 40P 3600 = 100 P 100 P = 3600 P = 36 Q = P Q = 600 – 10(36) Q = 600 – 360 Q = 240

Competition and Monopoly I Finding Each Firm’s Output P = 40P/6 3600–60P = 40P 3600 = 100 P 100 P = 3600 P = 36 Q = P Q = 600 – 10(36) Q = 600 – 360 Q = 240 q = Q/40 q = 6

Competition and Monopoly I Profits P = 36 q = 6

Competition and Monopoly I Profits P = 36 q = 6  = PQ - C

Competition and Monopoly I Profits P = 36 q = 6  = PQ – C PQ=(36)(6)= 216

Competition and Monopoly I Profits P = 36 q = 6  = PQ – C PQ=(36)(6)= 216 C=27+3q 2

Competition and Monopoly I Profits P = 36 q = 6  = PQ – C PQ=(36)(6)= 216 C=27+3q 2 C= (6) 2 C=135

Competition and Monopoly I Profits P = 36 q = 6  = PQ – C PQ=(36)(6)= 216 C=27+3q 2 C= (6) 2 C=135

Competition and Monopoly I The Problem – Part II Suppose other firms may open a (single) plant. Same cost function.

Competition and Monopoly I The Problem – Part II Suppose other firms may open a (single) plant. Same cost function. Find, P, Q, N, q, and .

Competition and Monopoly I Finding Long Run Marginal Cost We know that in the long run, the price will be at the minimum of the firm’s AC curve. Lets find that. AC MC LRMC

Competition and Monopoly I Finding Long Run Marginal Cost Two Steps –Find q –Find the minimum of AC at that level AC MC LRMC q

Competition and Monopoly I Finding Long Run Marginal Cost We know that in the long run, the price will be at the minimum of the firm’s AC curve. Lets find that. There are two steps. –Finding the value of q that minimizes AC –Finding MC or AC at that value.

Competition and Monopoly I Finding Long Run Marginal Cost The cost function is C = 27+3q 2

Competition and Monopoly I Finding Long Run Marginal Cost The cost function is C = 27+3q 2 AC = C/q

Competition and Monopoly I Finding Long Run Marginal Cost The cost function is C = 27+3q 2 AC = C/q

Competition and Monopoly I Finding Long Run Marginal Cost The cost function is C = 27+3q 2 AC = C/q

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost AC MC LRMC q=3 AC when q=3

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Finding Long Run Marginal Cost

Competition and Monopoly I Total Output

Competition and Monopoly I Total Output

Competition and Monopoly I Total Output

Competition and Monopoly I Total Output

Competition and Monopoly I Total Output

Competition and Monopoly I End ©2004 Charles W. Upton