Question
Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function:
Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function:
P=1,200QCQDP=1,200QCQD
where QCQC and QDQD are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are
TCC=25,000+200QCTCC=25,000+200QC
TCD=20,000+250QDTCD=20,000+250QD
Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firms output will not change).
For Company C, the long-run equilibrium output is
, and the selling price is
.For Company D, the long-run equilibrium output is
, and the selling price is
.
At the equilibrium output, Company C earns total profits of
, and Company D earns total profits of
.
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