(Answered) Suppose there are n identical firms in an oligopoly who

Economics

Suppose there are n identical firms in an oligopoly who compete in quantities. The inverse market demand is given by p = 2520 - Q, where Q = Sigma n, i = 1, q_i. Each fir's cost function is given by c_i(q_i) = 0.5qi² + 32400, where 32400 is fixed cost of entering market.

(a) Calculate the output, q* produced by a typical firm in a symmetric NE as a function of n. Calculate an expression for the NE profit, profit* as a function of n.

(b) If there are no barriers to entry, firms will enter the market until a typical firm earns zero profit. How many firms will there be in this market in the long run?

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