In a competitive industry consisting of 5,000 firms, the short-run marginal cost curve for each firm is given by MC = 100 + 20Q. The demand curve faced by the industry is given as P = 500 – 0.002Q. P and MC are in $/tonne and Q is in tones.
a. Find the equilibrium price and quantity sold, for the industry and for each firm.
b. Find the producer and consumer surpluses at the equilibrium price