In a competitive market, all firms have cost-functions C(y) = y^2 + y + 4. The market demand function is Q = 112-2p. Initially there are 40 firms.. (a) What is the market supply function? (b) What is the market price and quantity in the short-run? (c) How much profit do firms make in the short-run? (d) What happens in the long-run?