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.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.4P
icon
Related questions
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Welfare Cost
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Survey of Economics (MindTap Course List)
Survey of Economics (MindTap Course List)
Economics
ISBN:
9781305260948
Author:
Irvin B. Tucker
Publisher:
Cengage Learning