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Two Firms Are Producing Identical Goods in a Market Characterized

Question 132

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Two firms are producing identical goods in a market characterized by the inverse demand curve P = 60 - 2Q, where Q is the sum of Firm 1 and Firm 2's output, q1 + q2. Each firm's marginal cost is constant at $12, and fixed costs are zero. Answer the following questions, assuming that the firms are Cournot competitors.
a. Calculate each firm's reaction function.
b. How much output does each firm produce?
c. What is the market price?
d. How much profit does each firm earn?

Correct Answer:

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a. For Firm 1, P = 60 - 2(q1 +q2) = 60 - 2...

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