Output Marginal Labor (Q) Product 15 1 2 50 15 3 4 70 5 60 In the table above, when the firm increases its Labor from 4 to 5, the Marginal Product of Labor is: O - 10 O 15 O 10 - 15

If the Marginal Product of Labor(MPL) for the 2nd worker is 500 units.  What is the firms average Fixed Cost (FC) of producing 1,500 gadgets?

3. (14 points) Let the production function be Q(K,L)=2K L. The cost of one unit of labor is w, the cost of one unit of capital is r, and the quanitity to produce is y. (a) (4 points) Set up the firm's cost-minimization problem, and clearly write down the con- Page 6 straint the firm faces. The cost minimization problem of the firm is min(KL) WL+rK. The constraint: y=2K!L!. anscribed Text (b) (5 points) What are two conditions that the optimal bundle L and K need to satisfy? Write down their expressions. Tangency: -=-; production: y = 2(K)! (L)!. (c) (5 points) Solve for the optimal bundle of L. and K that minimizes the firm's cost at y=144 by finding L and K", assuming that w $16 and r $81. By solving the system of two conditions in Part (b), it should be not that hard to get L = 162 and K* = 32.

Bozo is a clown. He wants to start a clowning business where he sends other clowns out to birthday parties. Use the graph to Birthday parties answer the questions. 20 19 18 17 16 15 14 13 12 What is the marginal product of the third worker? O 2 11 10 6. 8. 7. 3.0 9. 3. 2. I 2 3 9 10 4 56 8. This production function demonstrates Workers diminishing marginal costs. a negative marginal product of labor. diminishing marginal returns to labor. diminishing output.

A company has the following production function for its product, f(k, I) = k"/2/1/2. It faces input prices v = 5 for capital and w = 20 for labor. How much does the firm use of each input if it wants to produce 10 units of its product? O a. I= 4, k = 25 O b. / = 5, k = 20 O c. 1= 20, k = 5 O d. 1= 25, k = 4 Clear my choice Suppose the market demand for a good is Qº = 2000 – 8p and market supply is QS = 5p + 700. There are 10 %3D firms with exactly the same cost function. How much does each firm produce? O a. 100 O b. 120 O c. 140 O d. 200 Clear my choice

Table 3 Gallo Cork Factory Number of Workers 1 2 3 4 5 6 7 Number of Machines 2 2 2 2 2 2 2 Output (corks produced per hour) 5 10 20 35 55 70 80 Select one: O a. the fifth worker O b. the fourth worker O c. the third worker O d. the sixth worker Marginal Product of Labor Cost of Cost of Workers Machines Total Cost Refer to Table 3. Gallo's cork factory experiences diminishing marginal product of labor with the addition of which worker?