Consider the price function y²-5Y+26, 0≤Y ≤ 10 Y≥ 10 P(Y) = where y₁ denotes the output of firm 1 and y2 denotes the output of firm 2 such that Y = y₁ + y2. Suppose that the total cost to each firm is given by TC;(yi) = 2y; for i = 1, 2. Use Cournot's Duopoly Model to find outputs y₁ and y2, profits ₁ and 72, and price P.

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
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Consider the price function
P(Y) =
1,
{ – 5Y + 26, 0<Y < 10
Y > 10
4
where y1 denotes the output of firm 1 and y2 denotes the output of firm 2 such that Y = y1 + y2.
Suppose that the total cost to each firm is given by TC;(yi) = 2y; for i = 1, 2.
Use Cournot's Duopoly Model to find outputs yi and y2, profits T1 and T2, and price P.
%3D
Transcribed Image Text:Consider the price function P(Y) = 1, { – 5Y + 26, 0<Y < 10 Y > 10 4 where y1 denotes the output of firm 1 and y2 denotes the output of firm 2 such that Y = y1 + y2. Suppose that the total cost to each firm is given by TC;(yi) = 2y; for i = 1, 2. Use Cournot's Duopoly Model to find outputs yi and y2, profits T1 and T2, and price P. %3D
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