Answer questions 14-16 based on the following information: Suppose that the production function for your firm is given by: F(L, K) = LAKz. w=2 and r=4. 14. In the long-run, how many workers and capital should you hire in order to produce Q units of output? a. L*=Q, K*=Q b. L*= Q3, K*= Q3 C. L*= Q3/4, K*= Q3/4 d. L*= Q4/3, K*= Q4/3 15. If the firm has a fixed cost of $100, what is the total cost function and the average variable cost function? a. TC= 100+6Q4/3; AVC=6Q1/3 b. TC= 100+6Q3/4; AVC=6Q3/4 c. TC= 100+6Q3; AVC=6Q2 d. TC= 100+6Q; AVC=6Q 16. What is the average total cost function and the MC function? a. ATC = -+ 6Q3; MC = 8Q3 b. ATC = -+ 603; MC = 8Q3 c. ATC = 100 + 604; MC = 2Q3 d. ATC = 100 + 603; MC = 807