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A firm wants to enter a market. There are 3 types of people in the market: 5 of Type 1, 10 of Type 2, 12

A firm wants to enter a market. There are 3 types of people in the market: 5 of Type 1, 10 of Type 2, 12 of Type 3. Type 1's demand the curve is q=100-10p, Type 2's demand curve is q=80-6p, Type 3's demand curve is q = 150-50p. The marginal cost that the firm faces are 0. What is the profit-maximizing quantity and price?

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