In: Economics
Two companies (A and B) are duopolists that produce identical products. Demand for the products is given by the following demand function: P = 1,000 - 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 = 50,000 + 200QA + .5QA2 TCB = 20,000 + 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. Hints: refer to an example - Cartel Analysis