Firm 1 and Firm 2 operate in the oligopolistic market and sell a heterogeneous product. They have agreed that the best solution for them would be to cooperate and to maximize together the joint profit from the whole market. The total production costs of the firms are described by: TC₁ = 4q1² and TC2 = 592² for q1, q2 ≥ 0, and zero otherwise. The market demand for the products is captured by the inverse demand functions: P₁ = 10 - 291 - 92 and P2 = 8 - 91 - 92. (a) Determine the production level of each firm and the prices of the products. (b) Do firms have any incentive to deviate from the cooperation agreement?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Firm 1 and Firm 2 operate in the oligopolistic market and sell a heterogeneous
product. They have agreed that the best solution for them would be to
cooperate and to maximize together the joint profit from the whole market. The
total production costs of the firms are described by: TC₁ = 491² and TC2 = 592²
for q1, q2 ≥ 0, and zero otherwise. The market demand for the products is
captured by the inverse demand functions: P₁ = 10 – 291 – 92 and P2 = 8 - 91
- 92.
(a) Determine the production level of each firm and the prices of the products.
(b) Do firms have any incentive to deviate from the cooperation agreement?
Transcribed Image Text:Firm 1 and Firm 2 operate in the oligopolistic market and sell a heterogeneous product. They have agreed that the best solution for them would be to cooperate and to maximize together the joint profit from the whole market. The total production costs of the firms are described by: TC₁ = 491² and TC2 = 592² for q1, q2 ≥ 0, and zero otherwise. The market demand for the products is captured by the inverse demand functions: P₁ = 10 – 291 – 92 and P2 = 8 - 91 - 92. (a) Determine the production level of each firm and the prices of the products. (b) Do firms have any incentive to deviate from the cooperation agreement?
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