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 + 100Q¢ %3D TCD = 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). Determine the long-run equilibrium output and selling price for each firm. a. b. Determine that total profits for each firm at the equilibrium output found in Part (a).

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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
TCp = 20,000 + 100QD
%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).
Determine the long-run equilibrium output and selling price for each firm.
a.
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 TCp = 20,000 + 100QD %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). Determine the long-run equilibrium output and selling price for each firm. a. b. Determine that total profits for each firm at the equilibrium output found in Part (a).
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