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- Ab 11 Economics A production function is given by the equation Q = 48L^0.5*K^0.5. Where L is the number of labor units and K is the capital units. Find the marginal product of labor (QL) and the marginal product of capital (Qk) at L=9 and K=16.Explain with the help of Graphs of Total Product (TP) and Marginal product (MP) the three laws of variable proportions and their significance in Industry and agriculture. Give the relationship between TP and MP at different stages of variable proportions. What is the relationship between Average Product curve (AP) and marginal product curve (MP) and explain at what point a progressive firm should change its labor or capital inputs with more skilled labor or with new technological machine in order to remain comparative in the market. What would happen to its product in the market if it does not change its machines or if it changes all its machines at the same timeI need help with econ multiple hw questions asap! 48) Let L represent the number of workers hired by a firm and let Q represent that firm’s quantity of output. Assume two points on the firm’s production function are (L = 12, Q = 122) and (L = 13, Q = 132). What is the marginal product of the 13th worker? A. 122 units of output B. 10 units of output C. 8 units of output D. 130 units of output 47)
- Suppose Die Cast Aluminum Co. is a subcontractor for the auto industry and makes specialized auto parts. There is a bracket it manufactures that it sells for $1.00. The following table shows the number of brackets that can be produced from a given number of labor hours. Assume that the company cannot hire labor for a fraction of an hour. Hours of Labor Output 0 0 1 50 2 90 3 120 4 140 5 150 6 155 7 157 The marginal product of labor for the third hour of labor is ...????. (Enter your response as an integer.) The value of the marginal product of labor for the third hour of labor is ......???. (Round your response to two decimal places.) If the wage paid to workers in Die Cast's plant is $25/hour, it should employ ......??? worker(s). (Enter your response as an integer.) If the wage paid to workers in Die Cast's plant is $35/hour, it should employ ......???? worker(s). (Enter your response as an integer.) If…The following graph shows a variety of possible production functions (PFs) in an imaginary economy, assuming constant levels of human capital and capital stock. Because human capital and capital stock remain unchanged, each of these production functions represents a different level of the technology. The slope of the line connecting the origin to point A is _______ (options: steeper, flatter) than the slope of the line connecting the origin to point B, because the slope of such a line is equivalent to __________ (options: the marginal physcial product of labor, marginal cost, productivity).With its current levels of input use, a firmʹs Marginal Rate of Technical Substitution is 5 (when capital is on the vertical axis and labour is on the horizontal axis). This impliesA. the firm could produce 5 more units of output if it increased its use of capital by one unit (holding labour constant).B. the marginal product of labour is 5 times the marginal product of capital.C. the marginal product of labour is 1/5 times the marginal product of capital.D. if it used one more unit of both capital and labour, the firm could produce 5 more units of output.
- According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuring plan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Prior to restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). To hire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishi determine that its marginal productivity of capital is 0.5 small cars per hour at its new targeted level of output and that capital is procured in a highly competitive market. The same study indicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine the rate at which Mitsubishi can rent capital and marginal productivity of labour at its new targeted level of output. To minimize…Distinguish between the Marginal Rate of Technical Substitution and Elasticity of Substitution in productionA firm is currently employing a cost-minimizing combination of labor and capital for a given level of output. The firm is employing 20 workers, and the marginal product of the last worker is 40 units of output. The firm is employing 100 units of capital, and the marginal product of the last unit of capital is 10 units of output. If the wage rate is $20 per hour, what is the price of capital? (A) $2.5 per hour (B) $5 per hour (C) $10 per hour (D) $100 per hour (E) $200 per hour
- According to The Wall Street Journal, Mitsubishi Motors recently announced a major restructuring plan in an attempt to reverse declining global sales. Suppose that as part of the restructuring plan Mitsubishi conducts an analysis of how labor and capital are used in its production process. Prior to restructuring Mitsubishi’s marginal rate of technical substitution is 0.12 (in absolute value). To hire workers, suppose that Mitsubishi must pay the competitive hourly wage of ¥1,800. In the study of its production process and markets where capital is procured, suppose that Mitsubishi determines that its marginal productivity of capital is 0.8 small cars per hour at its new targeted level of output and that capital is procured in a highly competitive market. The same study indicates that the average selling price of Mitsubishi’s smallest car is ¥1,200,000. Determine the rate at which Mitsubishi can rent capital and the marginal productivity of labor at its new targeted level of output. To…Suppose Charles owns a lawn mowing company, Assume that without workers, no yards are mowed. When he hires one worker, he is able to mow 3 yards per day. With two workers, he can mow 7 yards per day, and with three workers, he can mow 12 yards per day The marginal product of the first worker is yards per day The marginal product of the second worker yards per day.Consider the following production functions, to be used in this week’s assignment:(A) F(L, K) = 20L^2 + 20K^2(B) F(L, K) = [L^1/2 + K^1/2]^2For each of production functions (A) and (B) given above, do the following steps.(i) Calculate the marginal product of labor MPL(L, K) = ∂F(L, K) / ∂L.(ii) Calculate the marginal product of capital MPK(L, K) = ∂F(L, K) / ∂K.(iii) Calculate the absolute value of the technical rate of substitution as the ratio of marginal products andsimplify as far as possible: |TRS(L, K)| = MPL(L, K) / MPK(L, K). PLEASE SHOW ALL WORK
