A monopolist discriminates the price of its product among two groups as follows:    Q1 = 100 - p1 (demand of customers in group 1)  Q2 = 120 - 0.5p2 (demand of customers in group 2)  TC = 2000 + ( Q1 + Q2)2 (total cost of production)   a) Find the optimal sales to the first, Q1 * , and to the second, Q2 * , group. b) Find prices to be charged to the first, p1 * , and to the second, p2 * , group. c) Find the profit of this firm.

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