Suppose that sprockets are a perfectly competitive, constant cost industry with a large number of identical firms who have a long run total cost curve of TC(Q)=Q^3−4Q^2+10Q. The market demand curve is Q^D=250−2P.
(a) What is the long-run equilibrium price?
(b) How much will each firm produce in the long-run equilibrium?
(c) How many firms will exist in the long-run equilibrium?