The production function for good X in the table below exhibits increasing marginal returns to capital overwhat outout range?Production Function for Good XChoose Multiple Choice:Between o and 1,524• Between 2,391 and 3,048• Between O and 2,991• Between 3,016 and 2,945L*MP= (AQ/AK)AP=(Q/K)Marginal Product ofAverage Product ofCapitalLaborCapitalOutputCapital10575.75.702032426.716.203065733.3401,87241.526.8ese1,52445.230.48601,97645.232.93702,39141.534.162,72433.334.05902,991A33.231e03,8485.730.4811e3,016-3.227.421202,945-7.124.54

The production function for good X in the table below exhibits increasing marginal returns to capital over what outout range? Production Function for Good X Choose Multiple Choice: Between o and 1,524 Between 2,391 and 3,048 Between o and 2,991 Between 3,016 and 2,945 MP= (4Q/AK) AP=(Q/K) Marginal Product of Capital Average Product of Capital Labor Capital Output 9 10 57 5.7 5.70 20 324 26.7 16.20 9 30 657 33.3 40 1,e72 41.5 26.80 se 1,524 45.2 30.48 60 1,976 45.2 32.93 70 2,391 41.5 34.16 2,724 33.3 34.05 9 90 2,991 A 33.23 100 3,048 5.7 30.48 9 11e 3,016 -3.2 27.42 120 2,945 -7.1 24.54

The production function for good X in the table below exhibits increasing marginal returns to capital over what outout range? Production Function for Good X Choose Multiple Choice: Between o and 1,524 Between 2,391 and 3,048 Between o and 2,991 Between 3,016 and 2,945 MP= (4Q/AK) AP=(Q/K) Marginal Product of Capital Average Product of Capital Labor Capital Output 9 10 57 5.7 5.70 20 324 26.7 16.20 9 30 657 33.3 40 1,e72 41.5 26.80 se 1,524 45.2 30.48 60 1,976 45.2 32.93 70 2,391 41.5 34.16 2,724 33.3 34.05 9 90 2,991 A 33.23 100 3,048 5.7 30.48 9 11e 3,016 -3.2 27.42 120 2,945 -7.1 24.54

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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part D E F
can you please provide explanations and working
***PLEASE NOTE - An answer is NOT needed for parts A, B and C; these are included to assist with answering part D. Only an answer for part D is required, but it is derived from the previous answers*** Given: A farmer raises peaches using land (K) and labor (L), and has an output of ?(?,?)= ?0.5?0.5 bushels of apples. a. Find several input combinations that give the farmer 6 bushels of apples. Sketch the associated isoquant on a graph, with L on the x-axis and K on the y-axis. b. In the short run, the farmer only has 4 units of land. What is his short-run production function? Graph it for values of L from 0 to 16, with L on the x-axis and output on the y-axis. What is the name of the slope of this curve? c. Assuming the farmer still only has 4 units of land, how much extra output does he get from adding 1 extra unit of labor if he is already using only 1 unit of labor? How much extra output does he get from adding 1 extra unit of labor if he is already using 4 units of labor?…
F. None of the above 4) Please indicate whether the following production function has the characteristic of CRS, IRS and DRS. (b) F(K, L)=[aKP +(1-a)Le ]1/e, (1>a>0, 1>p) 1. CRS 2. IRS 3. DRS 4. None of the above
dien There are two factors in a production function y = x 113 x₂¹1³. The market price of each unit ofy is p=3, and the factor prices are w₁=1 and W₂=2 for x₁ and X₂ respectively. variable (a). Calculate your cost function as a function of y if X, and x₂ are both barible factors. (b). Now derive the functions of average and marginal cost and plot them against quantity (C). Solve for your optional output of y. Calculate the ratio of two factors (X₁/X₂) (d). In the short run the fixed factor is set at X₂=1. What is the new optimal output level now?
Constrained Optimization: Cobb-Douglas Production Function:1. Based from the factor shares of the two inputs, what will happen to the number of output if it the firm decides to triple both the amount of labor and capital?2. State the optimization problem of the firm.3. Solve for the formulas of the Marginal Product of Labor (MPL), and Marginal product ofCapital (MPK)4. Using your knowledge of the tangency condition in Producer’s theory, find the combinationof K and L that the firm should use to produce the maximum possible output. Do not solvethe problem using the Lagrangian method.Note: The tangency conditions just states that the slope of the production function must beequal to the slope of the isocost function.5. What is the maximum possible output that the firm could earn given the constraint it faces?
Suppose a firm’s production function is ? = ?2?. a) Determine the labor and capital demand functions. b) Are capital and labor normal or inferior inputs in this production process?
J 4
The Production Function for Wilson Company Economists at the Wilson Company are interested in developing a production function for fertilizer plants. They collected data on 15 different plants that produce fertilizer PLANT OUTPUT (TONS) CAPITAL ($) LABOUR (HOURS) 1 605.3 18,891 700.2 2 566.1 19,201 651.8 3 647.1 20,655 822.9 4 523.7 15,082 650.3 5 712.3 20,300 859.0 6 487.5 16,079 613.0 7…
10. An isoprofit curve will have which of the following properties? (a) If an extra unit of capital is used, output will rise by AQ = MP₁AL (b) If an extra unit of capital is used, the value of the extra output produced would be PMPKAK (c) If profits are being maximised, then profits can only be increased by using a different combination of inputs (d) If an extra unit of capital is used, the cost of producing the extra output produced will be rAKMPK (e) Profit maximisation will occur where the marginal rate of substitution is greater than the ratio of prices.
3. Frisbees are produced according to the production function q = 2K+L where q = output of frisbees per hour, K =capital input per hour, L =labor input per hour. a) If K = 10, how much L is needed to produce 100 frisbees per hour? b) If K = 25, how much L is needed to produce 100 frisbees per hour? c) Graph the q = 100 isoquant. Indicate the points on that isoquant defined in part a and part b. What is the RTS along this isoquant? Explain why the RTS is the same at every point on the isoquant. d) Graph the q = 50 and q = 200 isoquants for this production function also. Describe the shape of the entire isoquant map. e) Suppose technical progress resulted in the production function for frisbees becoming q = 3K+ 1.5L. Answer part a through part d for this new production function and discuss how it compares to the previous case.