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
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- QUESTION 4 When Total Product of labors (TPL) is maximized then: O Average product (APL) equals zero Marginal product (MPL) equals zero O Marginal product (MPL) is maximized O Average product (APL) is maximizedThe next 3 questions refer to the following: Labour Output 0 0 of 2 10 4 stion 26 6 46 8 65 10 72 12 80 14 86 Marginal Product when the number of workers increases from 2 to 4 workers is Marginal Product is maximized when the firm hires workers. Average Product is maximized when the firm hires workers. units.The law of diminishing marginal product states that: O A. in the long run as the firm uses more of a variable resource with a given fixed resource marginal product will decrease eventually B. in the short run as the firm uses more of a variable resource with a given fixed resource average product will increase eventually OC. in the short run as the firm uses more of a variable resource with a given fixed resource marginal product will decrease eventually OD. None of the above
- Calculate the Average Total Cost for points A & B. Input (Labor) Output TFC TVC TC MC ATC AVC 4. 50 $125 $15 85 $125 $30 O A-S35 -525.83 O 4:52.80 B-5182 OA-S0.36 B-50.s OAS250 BS147 Question 4 Calculate the Average Variable Cost for points A &B Input (Labor) Output TFC TVC TC MC ATC AVC 4. 50 $125 $15 85 $125 $30 OA52.50 -4147 OAS030 -5035If 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.
- 3. Suppose that labor is the only input used by a perfectly competitive firm. The firm's production function is as follows: Days of Labor 0 days 2 Units of Output 0 units L 118 119 4 a Calatane dhe marginal product of each additional worker. h. Each unit of output sells for $10. Calculate the value of the marginal product ofSuppose that the production function of a firm can be written as Q = 0.5K0.8L0.3. Which of the following is the equation for the average product of labor (APL)? O 0.3L-0.7 O K0.810.3 O 0.5K0.8L-0.7 O (0.7*0.5) K0.8L-0.7 O 0.5K0.810.3Bozo 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.
- The slope of an isocost line is equal to the Select one: O a. O b. and is negative of the ratio of input prices; constant decreases as we move down the line; the ratio of the marginal products O c. is constant; the ratio of the marginal products O d. increases as we move down the line; the ratio of input pricesQuestion 19 widget-manufacturing The production function for a firm is given by q = 9K0.5L0.5, where q is the number of widgets produced each hour, K is the number of specialized staplers (which is fixed at 4 in the short run), and L is the number of employees. What is the marginal product of labor at L = 9? O 18 O 3 none of the aboveA 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