Two firms sells an identical product. The demand function for each firm is given: Q = 20 - P, where Q = q1 + q2 is the market demand and P is the price. The cost function for reach firm is given: TCi = 10 + 2qi for i = 1, 2. a) If these two firms collude and they want to maximize their combined profit, how much are the market equilibrium quantity and price? b) If these two firms decide their production simultaneously, how much does each firm produce? What is the market equilibrium price? c) If Firm 1 is a leader who decides the production level first and Firm 2 is a follower, how much does each firm produce? What is the market equilibrium price?

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
Chapter13: best-practice Tactics: Game Theory
Section: Chapter Questions
Problem 1E
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Two firms sells an identical product. The demand function for each firm
is given: Q = 20 - P, where Q = q1 + q2 is the market demand and P is the price. The cost
function for reach firm is given:
TCi = 10 + 2qi for i = 1, 2.
a) If these two firms collude and they want to maximize their combined profit, how much
are the market equilibrium quantity and price?
b) If these two firms decide their production simultaneously, how much does each firm
produce? What is the market equilibrium price?
c) If Firm 1 is a leader who decides the production level first and Firm 2 is a follower, how
much does each firm produce? What is the market equilibrium price? 

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