Referring to Figure 6, Firm X uses labour (L) as the main inputs. Which of the following statements is false? Output per month BC D E A Labor per month Figure 6 O a. At point E the average product of labor is negative. At point E the marginal product of labor is decreasing. O c. At point E the marginal product of labor is negative. O d. At point E the average product of labor is decreasing.

1. Assume a daily production function for a firm is Q= min(3L, 4K) a, If L = 100 and K = 100 what quantity is produced? Explain why. b. What would be the cost-minimizing labor and capital combination for this firm to produce Q = 1200? (show your work) Labor = Capital = At this level of production from part b (Q-1200), if the wage rate is: w- $30 and the rental rate of capital is: r= $100, what is the total cost of production? (show your calculations) C.

A firm's production function is Q = 100L.0 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and minimize the cost of production. How much labor (L) should the firm employ? O A. L=20.96. O B. L=31.45. O C. L=34.26. O D. L=38.45. O E. L=41.22. QUESTION 2 A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K and F. How much F (Fuel) should the firm use? O A. F=7.90. O B. F=9.58. O C. F=10.75. O D. F=12.63. O E. F=14.88.

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