Let f(x) = 300x 10x2 and g(y) = 120y 5y2. A. Assuming that the firms are not regulated in any way, find the profit-maximizing levels of x and y for firms X and Y, respectively. Determine the profit realized by each firm. B. The regulatory authority requires x 12 and y 12 but allows any firm to sell some or all of its right to pollute to the other firm. Determine the resulting equilibrium values of x and y and the profit realized by each firm. C. Which firm sells pollution rights and which firm buys them? How many rights are exchanged? D. Let P denote the price of a right to dump 1 ton of SO2. Find the range in which the equilibrium value of P must fall when the constraints x 12 and y 12 are imposed