3. 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 = 600 – Qc – Q. where Qc and Qp are the quantities sold by the respective firms and P is the selling price. The total cost functions for the two companies are = 25,000 + 100QC = 20,000 + 100QD TCC %3D TCD %3D Assume that the firms form act independently as in the Count model (i.e., each firm assumes that the other firm's output will not change). а. Determine the long-run equilibrium output and selling price for each firm. b. Determine that total profits for each firm at the equilibrium output found in Part (a).

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ISBN:9780190931919
Author:NEWNAN
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3. 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 = 600 – Qc - QD
where Qc and Qp are the quantities sold by the respective firms and P is the selling
price. The total cost functions for the two companies are
TCC
25,000 + 100Qc
%3D
TCp = 20,000 + 100QD
Assume that the firms form act independently as in the Count model (i.e., each firm
assumes that the other firm's output will not change).
а.
Determine the long-run equilibrium output and selling price for each firm.
b.
Determine that total profits for each firm at the equilibrium output found in Part (a).
Transcribed Image Text:3. 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 = 600 – Qc - QD where Qc and Qp are the quantities sold by the respective firms and P is the selling price. The total cost functions for the two companies are TCC 25,000 + 100Qc %3D TCp = 20,000 + 100QD Assume that the firms form act independently as in the Count model (i.e., each firm assumes that the other firm's output will not change). а. Determine the long-run equilibrium output and selling price for each firm. b. Determine that total profits for each firm at the equilibrium output found in Part (a).
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