Analysts have estimated the inverse market demand in a homogeneous-product Cournot duopoly to be P= 150 -3 (Q₁ + Q2). They estimate costs to be C₁(Q₁)=18Q₁ and C₂(Q2) = 30Q2. a. Determine the reaction function for each firm. Firm 1: Q₁=[ Firm 2: Q2 = Q2 Firm 2: Q1 b. Calculate each firm's equilibrium output. Firm 1:[ . Calculate the equilibrium market price. $ d. Calculate the profit each firm earns in equilibrium. Firm 1: $ Firm 2: $

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter10: Monopolistic Competition And Oligoply
Section: Chapter Questions
Problem 17SQ
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Analysts have estimated the inverse market demand in a homogeneous-product Cournot duopoly to be P=150-3 (Q₁ + Q₂).
They estimate costs to be C₁(Q)=18Q₁ and C₂(Q2)=30Q2.
a. Determine the reaction function for each firm.
Firm 1: Q₁ =
Firm 2: Q₂ =
Q2
Q₁
b. Calculate each firm's equilibrium output.
Firm 1:
Firm 2:
c. Calculate the equilibrium market price.
$
Firm 2: $
d. Calculate the profit each firm earns in equilibrium.
Firm 1: $
Transcribed Image Text:Analysts have estimated the inverse market demand in a homogeneous-product Cournot duopoly to be P=150-3 (Q₁ + Q₂). They estimate costs to be C₁(Q)=18Q₁ and C₂(Q2)=30Q2. a. Determine the reaction function for each firm. Firm 1: Q₁ = Firm 2: Q₂ = Q2 Q₁ b. Calculate each firm's equilibrium output. Firm 1: Firm 2: c. Calculate the equilibrium market price. $ Firm 2: $ d. Calculate the profit each firm earns in equilibrium. Firm 1: $
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