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Two Companies (A and B)are Duopolists That Produce Identical Products

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Essay

Two companies (A and B)are duopolists that produce identical products.Demand for the products is given by the following demand function:

P = 10,000 - QA - QB

where QA and QB are the quantities sold by the respective firms and P is the selling price.

Total cost functions for the two companies are:

TCA = 500,000 + 200QA + .5QA2
TCB = 200,000 + 400QB + QB2

Assume that the firms form a cartel to maximize total industry profits (sum of Firm A and Firm B profits).Determine the optimum output and selling price for each firm.

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