In the example presented by this graph, what is total output when the fifth worker is added? The Production Function and Marginal Product Total Output Total output Number (number of meals of workers served per hour) Marginal product of labor 70 s0 30 10 15 15 9 10 Number ef workers 30 la) 12 42 Marginal Product 10 52 of Labor 15 60 10 65 67 63 -10 9 10 Number of workers 10 SS (b)
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- Digging calms by hand in Sunset Bay requires only labor input. The total number of calms obtained per hour (q) is given by :Q = 100√LWhere L is labor input per hour. A. Graph the relationship between q an LB. What the average productivity of labor in Sunset Bay? Graph this relationship and show that output per unit of labor input diminishes for increase in labor input. C. It can be shown that the marginal productivity of labor in Sunset By is given by:MPL =50√LGraph this relationship and show that labor’s marginal productivity is less than average productivity for all values of L . Explain why this is do.D. Explain the concept of diminishing returns to labor and how this concept related to increasing marginal costs.SCENARIO 7.7: A lawn service company has the following production possibilities. With one, two, three, and four workers, the company can mow 4, 9, 12, and 14 lawns per day, respectively.13) Refer to Scenario 7.7. Diminishing returns to labor set in with the ________ worker.A) first B) second C) third D) fourth14) Refer to Scenario 7.7. The average product of labor with four workers isA) 3. B) 3.5. C) 4. D) 14.15) If the marginal product of labor is less than the average product of labor, then theA) marginal product must be increasing. B) average product must be decreasing.C) marginal product must be decreasing. D) Both B and CExplain how a firm’s production function is related toits marginal product of labor, how a firm’s marginalproduct of labor is related to the value of its marginalproduct, and how a firm’s value of marginal productis related to its demand for labor
- 4. Considertheproductionfunction f(L;K)=L+K. a. Suppose K is Öxed at 2. Find algebraic expressions for the total product of labor function TP(L), the average product of labor AP(L), and the marginal product of labor MP(L). b. Graph the functions in part a.Illustrate and examine how the individual supply of labor curve demonstrate the way an individual divides his/her time between work and leisure3. Theo employs labor at a competitive wage (W) of $3 per unit, and he employs capitalat a competitive rental rate (R) of $6 per unit.a. State the cost-minimizing rule. You must provide both a written statement of it, and state it as anequation.b. At Theo’s current combination of labor and capital, the marginal product of labor (MPL) is twiceas large as the marginal product of capital (MPK). Is Theo currently employing the optimal ratio oflabor and capital? If not, how should he adjust his hiring of labor and/or capital? Explain.
- Q(A) Use the following information to show the producers equilibrium under the isoquant/ isocost approach. a) Data below shows the combinations of two factor of production. Use the following data and plot the isoquant curve. combinations units of uk unit of l A 18 2 B 12 3 C 9 4 D 6 6 E 4 9 F 3 12 G 2 18 (b) Let the price of labor is Rs 1 per unit and the price of capital is Rs.4. Total expenditure of the firm is Rs.36 then find two bundles to plot isocost line.Consider a firm that produces car repairs. All inputs are fixed except the number of workers hired to make repairs. The schedule of output as the number of workers changes is : Number of Workers Repairs Completed(per day) Marginal Product ( per day) of that worker 1 3 3 2 9 ? 3 18 9 4 30 12 5 ? 15 6 52 7 7 58 6 8…please asnwer the question in the image Some economists believe that the U.S. economy as awhole can be modeled with the following productionfunction, called the Cobb–Douglas production function:Y 5 AK1/3L2/3,where Y is the amount of output, K is the amount ofcapital, L is the amount of labor, and A is a parameterthat measures the state of technology. For this productionfunction, the marginal product of labor isMPL 5 (2/3) A(K/L)1/3.Suppose that the price of output P is 2, A is 3, K is1,000,000, and L is 1,000. The labor market is competitive,so labor is paid the value of its marginal product.a. Calculate the amount of output produced Y and thedollar value of output PY.b. Calculate the wage W and the real wage W/P. (Note:The wage is labor compensation measured in dollars,whereas the real wage is labor compensationmeasured in units of output.)c. Calculate the labor share (the fraction of the value ofoutput that is paid to labor), which is (WL)/(PY).d. Calculate what happens to output Y,…