Microeconomic Theory
12th Edition
ISBN: 9781337517942
Author: NICHOLSON
Publisher: Cengage
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- Consider the production function of the firm below. Which of the following is NOT true? The marginal product of labor at B is 70 units. The total product is increasing as inputs to production increase. The marginal product of capital at point D is 50. The marginal products of both labor and capital are always increasing.arrow_forwardam. 106.arrow_forwardExercise 11 Question Help Suppose that a firm's production function is: 112- q = 10L0.5K0.5 98- Its marginal product functions are: 84- MP, = 5KO.5/L0.5 - 0.5g/L 70- and MPK = 5L0.5/K.5 - 0.5g/K. 56- The cost of a unit of labor, w, is $50 and the cost of a unit of capital, r, is $50. Isoquants for output of 140 and 280 are illustrated in the figure to the right. 42- 28- Initially, the firm is producing 140 units of output and has determined that the cost-minimizing quantities of labor and capital are 14 and 14, respectively. 14- -q= 280 q= 140 98 Suppose now that the firm wants to increase output to 280 units. If capital is fixed 0- in the short run, how much labor will the firm require? 70 84 L, Units of labor 14 28 42 56 112 The firm will now require units of labor. (Enter your response rounded to two decimal places.) K, Units of capitalarrow_forward
- These occur when doubling all of the inputs to a production process doubles the output. The shape of a firm's long-run average cost curve depends both on returns to scale in production and the effect of scale on the prices it pays for its inputs. O Decreasing returns to scale in production O Constrained optimisation problem O Constant returns to scale in production O Decreasing returns to scalearrow_forward1. Suppose a chair manufacturer is producing in the short run (with its existing plant and equipment). The manufacturer has observed the following levels of production corresponding to different numbers of workers: NUMBER OF WORKERS NUMBER OF CHAIRS 10 2 18 3. 24 4 28 5. 30 28 6. 7 25 a. Calculate the marginal and average product of labor for this production function. b. Does this production function exhibit diminishing returns to labor? c. Explain intuitively what might cause the marginal product of labor to become negative.arrow_forwardSugar Enterprises manufactures high speed personal computers as its main product line. Its short run production function is given by Q = 3600K - 4.5K² where Q is the number of computers produced in a week and K pertains to the number of units of capital. c.) Compute the marginal product of the 200th unit of capital. d.) How many computers can be produced by the firm in a week if there are 200 units of capital? e.) Compute the marginal product of the 300th unit of labor. f.) How many computers can be produced by the firm in a week if there are 300 units of labor?arrow_forward
- The production function for the automotive and parts industry is q=L0 25 K0.16 M0.59 where M is energy and materials (based loosely on Klein, 2003). What kind of returns to scale does this production function exhibit? This production function exhibits constant returns to scale. The marginal product of materials, MPM, is O A. MPM = 0.59(q/M) O B. MPM = 0.59L0 25 K0.16M - 0.41 MPM =L0 25K0. 16MO.59 O D. both a and b. O E. all of the above.arrow_forwardThe marginal product of the variable input O is equal to the total product divided by the total amount of the variable input employed. O Change in Y/Change in X O is always positive. O typically falls then rises.arrow_forwardWhat is an isoquant? What is a marginal product? What is the technical rate of substitution? Explain the relationship between these terms.arrow_forward
- The Acme Anvil Company's output is given by the Cobb-Douglas Production function P = 60L2/3 K1/3, where P is the number of anvils produced when Lis the amount spent on labor and K is the amount spent on capital. a. What is the production if L = 150 and K = 150? b. Find the marginal productivities. C. Evaluate the marginal productivities with L = 150 and K = 150. d. Interpret the meanings of the marginal productivities found in part c. e. If their budget is $300 then there is a constraint L+ K = 300. Use Lagrange multipliers (2) to find the values of L and K that will maximize production and find the maximum production f. Find 2. 12| is called the marginal productivity of money and will give the number additional units produced for each dollar increase in the budget. Interpret 2 for this problem. MacBook Pro urses/34419/files/5014304?wrap=1arrow_forwardCreate graph and answer questionsarrow_forwardBe quickarrow_forward
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