Question 3 Suppose a market demand function is given by Qp(P) = 1,000- 10P. The product can be produced with a cost function C(Q) = 10,000 + 20Q. (a) Determine Q and P and the firm's profit if there is a single firm. (b) Determine total output Q, the equilibrium price, and the profit of each firm if there are two firms (i.e., a Cournot oligopoly). (c) Determine Q, the equilibrium price, and the profit of each firm if there are 10 firms.

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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Question 3 Suppose a market demand function is given by QD(P) = 1,000 - 10P. The
product can be produced with a cost function C(Q) = 10,000 + 20Q.
(a) Determine Q and P and the firm's profit if there is a single firm.
(b) Determine total output Q, the equilibrium price, and the profit of each firm if
there are two firms (i.e., a Cournot oligopoly).
(c) Determine Q. the equilibrium price, and the profit of each firm if there are 10
firms.
Transcribed Image Text:Question 3 Suppose a market demand function is given by QD(P) = 1,000 - 10P. The product can be produced with a cost function C(Q) = 10,000 + 20Q. (a) Determine Q and P and the firm's profit if there is a single firm. (b) Determine total output Q, the equilibrium price, and the profit of each firm if there are two firms (i.e., a Cournot oligopoly). (c) Determine Q. the equilibrium price, and the profit of each firm if there are 10 firms.
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