Suppose that a single firm is both a monopolist and a monopsonist. This firm purchases two inputs, K & L, and combines them to produce Q. This firm pays the price pl for each unit of L and the price pk for each unit of K. This firm sells Q for a price p. The firm has no semi-fixed costs. The Demand for Q is given by: The Supply of L and K is given by: Q = 40-2p PL 0.5L = PK = 0.25K And this firm's production function is given by: Q=K0.5 10.5 Given the above, answer the following questions: 8) What is this firm's profit function as a function of K & L? [1 point] 9) Use cost minimization to determine the cost-minimizing choices of K & L as functions of Q. Hint: Cost Minimization is for a given Q] [3 points] 10) What is the Cost Function of this firm as a function of Q? [1 point] 11) Finally, what is this firm's profit-maximizing choices of K, L, and Q? [3 points]