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 + 1p,. Solve for the Bertrand equilibrium. In equilibrium, p, equals $ 44 and p2 equals $ 44. (Enter numeric responses using integers.) At these prices, q1 equals and q2 equals The total quantity supplied is.
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 + 1p,. Solve for the Bertrand equilibrium. In equilibrium, p, equals $ 44 and p2 equals $ 44. (Enter numeric responses using integers.) At these prices, q1 equals and q2 equals The total quantity supplied is.
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
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![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
92 = 100 - 2p2 + 1p,.
Solve for the Bertrand equilibrium.
In equilibrium, p, equals $ 44 and p2 equals $ 44. (Enter numeric responses using integers.)
At these prices, q, equals
and q2 equals:
The total quantity supplied is.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1a989b5-1d63-450c-8ce9-0ab508bfbcec%2F2660682c-d685-40d8-a74a-5bc29089a7c2%2Fz3x8r2g_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
92 = 100 - 2p2 + 1p,.
Solve for the Bertrand equilibrium.
In equilibrium, p, equals $ 44 and p2 equals $ 44. (Enter numeric responses using integers.)
At these prices, q, equals
and q2 equals:
The total quantity supplied is.
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