Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of 9₁ =70-2p₁ + 1P2, where 91 is Firm 1's output, p₁ is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92 z =70 − 2p2 +1P1. Solve for the Bertrand equilibrium. In equilibrium, p₁ equals $ and P2 equals $ (Enter numeric responses using integers.)

Survey of Economics (MindTap Course List)
9th Edition
ISBN:9781305260948
Author:Irvin B. Tucker
Publisher:Irvin B. Tucker
Chapter9: Monopolistic Competition And Oligoply
Section: Chapter Questions
Problem 20SQ
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Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of
01 = 70 - 2p1 + 1p2,
where q₁ is Firm 1's output, p₁ is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is
92 = 70-
)-2p2+1p1.
Solve for the Bertrand equilibrium.
In equilibrium, p₁ equals $ and 1 P2 equals $. (Enter numeric responses using integers.)
Transcribed Image Text:Suppose that identical duopoly firms have constant marginal costs of $10 per unit. Firm 1 faces a demand function of 01 = 70 - 2p1 + 1p2, where q₁ is Firm 1's output, p₁ is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92 = 70- )-2p2+1p1. Solve for the Bertrand equilibrium. In equilibrium, p₁ equals $ and 1 P2 equals $. (Enter numeric responses using integers.)
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