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The production function in the image uses a variable amount of labor and a fixed a mount of capital to produce output. The production function exhibits diminishing returns to labor. Is this a short-run or long-run production function? Explain.
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- What shapes would you generally expect a total product curve and a marginal product curve to have?4. Rehana owns a famous chitoi pitha stall in Dhaka University campus. She pays an hourly wageof 40 taka to her workers and each pitha sells for 8 taka. The table below gives her productionfunction. Quantity of workers Quantity of pitha MPL (pitha) VMPL (taka) 0 0 1 36 2 60 3 76 4 88 5 96 a) Complete the above table. (show calculation)b) Draw the value of the marginal product of labor curve and the wage curve on one diagram.c) Use your diagram to determine how many workers Rehana should employ in order to maximizeher profit?5. The Bangladesh Government decides to buy laptops for all university students causing thesupply of labor to fall in the laptop manufacturing industry. True or False? Explain.Explain how the wage can adjust to balance thesupply and demand for labor while simultaneouslyequaling the value of the marginal product oflabor.
- AK.25L.75 A=3 K=15 L=140 there is a 30% reduction in L a. how much does marignal product of labor change?From the following production functions 1. Q= a1H + a2L + a3H2 + a4 L2 + a5HL, where ai> 0 2. Q = aH@ Ly, where a, @, y > 0 a. Derive the equation of the relevant isoquant. b. Find out whether the production function is well behaved. c. Examine whether the isoquant is well behaved and therefore represents the behaviour of a rational production. d. Derive equation which describes MRTS of 9ne factor. e. For each equation examine whether the production is homogeneous and if so, what is the degree of homogeneity. Is the equation characterized by IRTS, DRTS or CRTS.(TCO C) You have been hiredto manage a small manufacturing facility whose cost and productiondata are given in the table below.No. of workers Total LaborCost Output TotalRevenue 1 $150 100 $170 2 300 108 550 3 450 114 1150 4 600 119 1470 5 750 123 1600 6 900 125 1700 7 1050 126 1750 Based on your knowledge of marginal analysis, how manyworkers should you hire? Explain youanswer.
- The lines on the graph are budget constraints, showing the tradeoff between labor and leisure. Suppose that when the wage changes, an individual chooses to move from point A to another point on the graph. For each of the other points, where would it belong on the backward bending labor supply curve? Backward‑bendingportionVerticalportionUpward‑slopingportion Answer Bank B D F C EDefine marginal product of labor and value of the marginal product oflabor. • Describe how a competitive, profit-maximizing firm decides how many workersto hire.demand curve for labor is determined bya. the opportunity oost of wO<kers' time. b. the value of the marginal product of labor.c. offsetting income and substi tution effects.d. the value of the marginal product of capital.
- 1. AK.25L.75 A=4 K= 75 L= 76 a. marginal product of capital b. total payments of laborYour enterprising uncle opens a sandwich shopthat employs 7 people. The employees are paid$12 per hour, and a sandwich sells for $6. If youruncle is maximizing his profit, what is the value ofthe marginal product of the last worker he hired?What is that worker’s marginal product?Andy’s Beach Gear rents snorkels for $10 each. From past experience Andy knows how many rentals his workers can do, which is shown in the table below. Workers No. of Rentals 1 100 2 130 3 155 4 175 5 190 6 200 7 205 In the third column, calculate the MPL (marginal product of labor) for each worker. In the fourth column, calculate the VMPL (value of marginal product of labor) for each worker. At a wage of $150, how many workers should Andy hire? Calculate the average product of labor when Andy employs five workers? Using the data in the table construct a labor demand curve for Andy’s Beach Gear.
