MCQ 36 The marginal productivity theory of factor pricing suggests that a firm should hire additional units of capital up to the point at which: A the marginal revenue product of capital is equal to the prevailing cost of capital the marginal revenue product of capital reaches a maximum C the marginal revenue product of capital is zero D the marginal revenue product of capital is constant at the margin of production E I do not want to answer this question. F marginal cost is zero

MCQ 36 The marginal productivity theory of factor pricing suggests that a firm should hire additional units of capital up to the point at which: A the marginal revenue product of capital is equal to the prevailing cost of capital the marginal revenue product of capital reaches a maximum C the marginal revenue product of capital is zero D the marginal revenue product of capital is constant at the margin of production E I do not want to answer this question. F marginal cost is zero

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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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.
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5 Question 5 A bottling company uses two inputs to produce bottles of the soft drink Dr Pibb; bottling machines, K, and workers, L. The firm's production function exhibits diminishing MRTS. At its current level of production, the firm spends 800 per day on machinery and 200 per day paying wages to its workers. At this level of production, the marginal product of the machine is an additional 200 bottles per day and the marginal product of labor is 50 more bottles per day. Is this firm producing at minimum cost? If it is minimizing cost, explain why. If it is not minimizing cost, explain how the firm can lower its cost.
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Question 4 For a firm, the production function represents the relationship between OOO implicit costs and explicit costs. quantity of inputs and total cost. quantity of inputs and quantity of output. quantity of output and total cost. iz Instructions Question 5 Grace is a self-employed artist. She can make 20 pieces of pottery per week. She is considering hiring her sister Kate to work for her. Both she and Kate can make 35 pieces of pottery per week. What is Kate's marginal product? O 15 pieces of pottery O22.5 pieces of pottery O 35 pieces of pottery O 55 pieces of pottery
MC Qu. 41 If the variable cost curve is a straight... If the variable cost curve is a straight line, then the marginal cost curve will be horizontal. marginal cost curve is upward sloping. Omarginal cost curve will be U-shaped. Omarginal cost curve may be U-shaped.
a) Fill in the empty cells in the table. You have been also given following additional info- Price = $ 10 Wage = $ 1500 Labor (L) Output (q) Marginal Product of Labor Value of the marginal product of labor: Wage Marginal profit 0 0 1 400 2 720 3 960 4 1020 b) When the company should stop hiring Workers. Explain