Determine the reaction function for each firm.   Firm 1: Q1 = − Q2   Firm 2: Q2 = − Q1 b. Calculate each firm’s equilibrium output.   Firm 1:   Firm 2: c. Calculate the equilibrium market price.   $ d. Calculate the profit each firm earns in equilibrium.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Analysts have estimated the inverse market demand in a homogeneous-product Cournot duopoly to be P = 110 −3 (Q1 + Q2). They estimate costs to be C1(Q1) = 11Q1 and C2(Q2) = 29Q2.

a. Determine the reaction function for each firm.
 

Firm 1: Q1 = − Q2

 

Firm 2: Q2 = − Q1


b. Calculate each firm’s equilibrium output.
 

Firm 1:

 

Firm 2:


c. Calculate the equilibrium market price.
 

$


d. Calculate the profit each firm earns in equilibrium.
 

Firm 1: $

 

Firm 2: $

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