Suppose we have a duopoly with Firm 1 and Firm 2 and the following inverse demand function: P = 100 – 5(Q1 + Q2) Total Cost and Marginal Cost values for firms 1 and 2 are: TC1 = 20Q1 TC2 = 30Q2 MC1 = 20 MC2 = 30 Assuming a Cournot Duopoly, the following response functions are derived: Firm 1: Q1 = 8 – 0.5Q2 Firm 2: Q2 = 7 – 0.5Q1 Using this information, calculate the quantity produced for each firm, the price, and profits for each firm and the market as a whole.

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
icon
Related questions
Question

Suppose we have a duopoly with Firm 1 and Firm 2 and the following inverse demand function:

P = 100 – 5(Q1 + Q2)

Total Cost and Marginal Cost values for firms 1 and 2 are:

TC1 = 20Q1
TC2 = 30Q2
MC1 = 20
MC2 = 30

Assuming a Cournot Duopoly, the following response functions are derived:

Firm 1: Q1 = 8 – 0.5Q2
Firm 2: Q2 = 7 – 0.5Q1

Using this information, calculate the quantity produced for each firm, the price, and profits for
each firm and the market as a whole. 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Multiple Equilibria
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
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
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage