Consider a market with only two firms. The firms operate in a Stackelberg type market where Firm 1 is the follower & Firm 2 is the leader. The market inverse demand function is: P = 120 – 2Q, where Q = q1 + q2. Each firm has a similar cost structure with a marginal cost; MC = 12, though each have different fixed costs; FC1 = 50 & FC2 = 80. Answer the following questions: a. If both firms wish to compete, what is the optimal quantity for each firm (qi) and the market price? b. What are the profits for each firm from the strategy in part a? c. If both firms choose to collude and not directly compete, what is the new price, quantity, and profits

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.4P
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Consider a market with only two firms. The firms operate in a Stackelberg type market where Firm 1 is the follower & Firm 2 is the leader. The market inverse demand function is: P = 120 – 2Q, where Q = q1 + q2. Each firm has a similar cost structure with a marginal cost; MC = 12, though each have different fixed costs; FC1 = 50 & FC2 = 80. Answer the following questions:

a. If both firms wish to compete, what is the optimal quantity for each firm (qi) and the market price?

b. What are the profits for each firm from the strategy in part a?

c. If both firms choose to collude and not directly compete, what is the new price, quantity, and profits for each firm?

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