An industry contains two firms and the inverse demand function for the firms output is P-180-30, where is the total oups ose that firm I's cost and marginal cost functions are C(q)- 30q; and MC(q)-30, while firm 2's cost and marginal cost functions -q² and MC(q)-2q2 Determine each firm's Nash equilibrium output. Determine each firm's profit at the Nash equilibrium output.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.3P
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An industry contains two firms and the inverse demand function for the firms' output is P-180-30, where Q is the total output
Suppose that firm I's cost and marginal cost functions are C(q)- 30q; and MC(q)-30, while firm 2's cost and marginal cost functions are
C(q)-q² and MC(q)-2q2
a.
Determine each firm's Nash equilibrium output.
b. Determine each firm's profit at the Nash equilibrium output.
Transcribed Image Text:2. An industry contains two firms and the inverse demand function for the firms' output is P-180-30, where Q is the total output Suppose that firm I's cost and marginal cost functions are C(q)- 30q; and MC(q)-30, while firm 2's cost and marginal cost functions are C(q)-q² and MC(q)-2q2 a. Determine each firm's Nash equilibrium output. b. Determine each firm's profit at the Nash equilibrium output.
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