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1. All firms in a Cournot monopolistically competitive industry have the same cost function C(q) = 25 + 40q. Market demand is Q(p) = 140 - p. Calculate the equilibrium price, firm output, total output, and number of firms in the industry.
2. One of these firms is considering opening up a new product line, in a market in which it would be the only firm. So, adjusting the notation to now capture demand in the monopolistically competitive industry with Q1(p1) = 140 - p1, and the demand it would face in the new second market with Q2(p2) = 100 - 2p2, what should the firm do? Assume that the firm faces costs equal to C(q1, q2) = 25 + 40q1 + 0.5q22 + q1q2.
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