Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of q, = 100 - 2p, + 1p2, where q, is Firm 1's output, p, is Firm 1's price, and p, is Firm 2's price. Similarly, the demand Firm 2 faces is q, = 100 - 2p, + 1p,. Solve for the Bertrand equilibrium. In equilibrium, p, equals $ and p2 equals $. (Enter numeric responses using integers.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
Problem 2E
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Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of
9, = 100 - 2p, + 1p2,
where q, is Firm 1's output, p, is Firm 1's price, and p, is Firm 2's price. Similarly, the demand Firm 2 faces is
92 = 100 - 2p2 + 1p1.
Solve for the Bertrand equilibrium.
In equilibrium, p, equals $
and p2 equals $. (Enter numeric responses using integers.)
Transcribed Image Text:Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of 9, = 100 - 2p, + 1p2, where q, is Firm 1's output, p, is Firm 1's price, and p, is Firm 2's price. Similarly, the demand Firm 2 faces is 92 = 100 - 2p2 + 1p1. Solve for the Bertrand equilibrium. In equilibrium, p, equals $ and p2 equals $. (Enter numeric responses using integers.)
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