3. Suppose that the market demand for a product is given by Q = A- BP (A>0 and B > 0). Suppose also that in a competitive industry the typical firm's cost function is given by C(q) = k+aq +bq (k> 0, a >0 and b > 0). (a) Calculate the long-run equilibrium market price and the output for the typical firm. (b) Calculate the equilibrium number of firms in the market. (c) Describe how changes in the demand parameters A and B affect the equilibrium number of firms in this market. Explain your results intuitively.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.9P
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Suppose that the market demand for a product is given by   ( A > 0 and B > 0).  Suppose QABP=-also that in a competitive industry the typical firm’s cost function is given by   (k > 2()Cqkaqbq=++0, a > 0 and b > 0).(a) Calculate the long-run equilibrium market price and the output for the typical firm. (b) Calculate the equilibrium number of firms in the market.(c) Describe how changes in the demand parameters A and B affect the equilibrium number of firms in this market. Explain your results intuitively.

3. Suppose that the market demand for a product is given by Q = A- BP (A>0 and B > 0). Suppose
also that in a competitive industry the typical firm's cost function is given by C(q)=k+aq+bq (k>
0, a >0 and b > 0).
(a) Calculate the long-run equilibrium market price and the output for the typical firm.
(b) Calculate the equilibrium number of firms in the market.
(c) Describe how changes in the demand parameters A and B affect the equilibrium number of firms in
this market. Explain your results intuitively.
Transcribed Image Text:3. Suppose that the market demand for a product is given by Q = A- BP (A>0 and B > 0). Suppose also that in a competitive industry the typical firm's cost function is given by C(q)=k+aq+bq (k> 0, a >0 and b > 0). (a) Calculate the long-run equilibrium market price and the output for the typical firm. (b) Calculate the equilibrium number of firms in the market. (c) Describe how changes in the demand parameters A and B affect the equilibrium number of firms in this market. Explain your results intuitively.
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