Solve for the Bertrand equilibrium for the firms described below if Firm 1's marginal cost is $15 per unit and Firm 2's marginal cost is $25 per unit. Firm 1 faces a demand function of 9, = 140 – 2P, + 1P2. where q, is Firm 1's output, p, is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92 = 140 - 2p2 + 1P1. Solve for the Bertrand equilibrium. In equilibrium, p, equals and p2 equals O. (Entor numeric responses using intogers.) At these prices, q, equals O and a2 equals [ The total quantity supplied is O.

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter5: Supply, Demand, And Price: Applications
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Solve for the Bertrand equilibrium for the firms described below if Firm 1's marginal cost is $15 per unit and Firm 2's marginal cost is $25 per unit.
Firm 1 faces a demand function of
91 = 140 – 2p, + 1p2,
where
91
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 = 140 - 2p2 + 1p1.
Solve for the Bertrand equilibrium.
In equilibrium, p, equals
and p2 equals
(Enter numeric responses using integers.)
At these prices, q, equals
and
92 equals
The total quantity supplied is
Transcribed Image Text:Solve for the Bertrand equilibrium for the firms described below if Firm 1's marginal cost is $15 per unit and Firm 2's marginal cost is $25 per unit. Firm 1 faces a demand function of 91 = 140 – 2p, + 1p2, where 91 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 = 140 - 2p2 + 1p1. Solve for the Bertrand equilibrium. In equilibrium, p, equals and p2 equals (Enter numeric responses using integers.) At these prices, q, equals and 92 equals The total quantity supplied is
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