ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Assume that two companies (A and B) are duopolists who produce identical products. Demand for the products is given by the following linear demand function:
P=200−QA−QBP=200−QA−QB
where QAQA and QBQB, are the quantities sold by the respective firms and P is the selling price. The total cost functions for the two companies are
TCA=1,500+55QA+QA2TCA=1,500+55QA+QA2
TCB=1,200+20QB+2QB2TCB=1,200+20QB+2QB2
Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change).
For Company A, the long-run equilibrium output is
and the selling price is
.
For Company B, the long-run equilibrium output is
, and the selling price is
.
At the equilibrium output, Company A earns total profits of
and Company B earns total profits of
. Therefore, the total industry profits are
.
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