There is a single production technology available to firms that might choose to operate in the market for hammers. The cost function associated with this technology is given by C(q) = 3 + 3q2, for any q > 0, but the costs of production are equal to zero if q = 0. That is C(0) = 0. (a) Find the average cost and marginal cost functions. (b)If the price of hammers is p, find the supply curve of a single firm, for all possible prices p> 0. For parts (c) and (d) : Suppose that there is free entry into the hammer market, and the cost functions of firms don't change. The market demand for hammers is given by D(p) = 600 50p. (c) What is the long-run price in the market and how much does each firm produce at this price? (d) How many total firms are in the market