(Answered) Consider a perfectly competitive industry each identical

Economics

Consider a perfectly competitive industry. Each (identical) firm has the following total cost function C(q) = 16 + 4q2. The market demand facing the industry is Qd(p) = 500 - 10p, where p is the market price.

a) What is the long run equilibrium individual firm's profit π* ? Show your work

b) What is the long run equilibrium market price p*? Show your work

c) What is the long run equilibrium individual firm's quantity q*? Show your work

d) What is the number of firms in the industry N*? Show your work

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