Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C₁ = 60Q₁ and C₂ = 60Q2, where Q₁ is the output of Firm 1 and Q₂ is the output of Firm 2. Price is determined by the following demand curve: P=300-Q where Q=Q₁ +Q₂. Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium. (For all of the following, enter a numeric response rounded to two decimal places.) When competing, each firm will produce units of output.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given
by C₁ = 60Q₁ and C₂ = 60Q2, where Q₁ is the output of Firm 1 and Q₂ is the output of Firm 2. Price is determined by
the following demand curve:
P=300-Q
where Q=Q₁ +Q₂.
Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium. (For all of the following, enter a
numeric response rounded to two decimal places.)
When competing, each firm will produce
units of output.
Transcribed Image Text:Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C₁ = 60Q₁ and C₂ = 60Q2, where Q₁ is the output of Firm 1 and Q₂ is the output of Firm 2. Price is determined by the following demand curve: P=300-Q where Q=Q₁ +Q₂. Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium. (For all of the following, enter a numeric response rounded to two decimal places.) When competing, each firm will produce units of output.
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