Consider a perfectly competitive market for sandwiches. All firms in this market are identical, with total costs T C = 1 2 q 2 + 5q + 18 and marginal costs MC = 5 + q, where q is the quantity an individual firm produces. Market demand is given by QD = 175 2 − 5 2 P. (a) Find the break-even price and quantity for a firm in this market. (b) What is the supply curve of an individual firm in this market? (c) Suppose there are currently 5 firms in the market. What is the market supply curve? (d) Find the equilibrium market price and quantity. How many sandwiches will each firm produce, and what will be each firm’s profit? (e) In the long-run equilibrium, what will each firm’s profit be? What will happen to the number of firms in the market? Explain. (f) User your answer from (e) to determine the market price and firm quantity in the long run. (g) What will the market quantity be in the long run, and how many firms will be in the market?