A firm identifies the following relationship between the real wage it pays and the effort exerted by its workers: Real Wage Effort 8 14 10 25 12 36 14 41 16 46 18 51 The marginal product of labor for this firm is given by the expression to the right where E is the effort level and N is the number of workers employed. E[40 - (1xN)] MPN = 5 If the firm can pay only one of the six wage levels shown, which should it choose? w = How many workers will it employ? ........ workers.
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- 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…Suppose that labor is the only input used by aperfectly competitive firm. The firm’s productionfunction is as follows:Days of Labor Units of Output0 days 0 units1 72 133 194 255 286 297 29a. Calculate the marginal product of each additionalworker.b. Each unit of output sells for $10. Calculate thevalue of the marginal product of each worker.c. Compute the demand schedule showing thenumber of workers hired for all wages from zeroto $100 a day.d. Graph the firm’s labor-demand curve.e. What happens to this demand curve if the price ofoutput rises from $10 to $12 per unit?... Assume that the price of a car wawsh is $10 and the marginal product of labor at the car wash is given in the following table: Quantity of labor L (workers) 0 1 2 3 4 5 6 7 Quantity of car washes Q 0 6 11 15 18 20 21 21 Marginal Product of Labor (change in Q/change in L) aka car washes per worker • Fill in the values for MPL in the table • Calculate the MRPL for each quantity of labor • Draw a correctly labeled graph of the MRP curve
- 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 $2.50. 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 50 90 1 3 120 4 140 150 155 6 157 The marginal product of labor for the third hour of labor is 30. (Enter your response as an integer.) The value of the marginal product of labor for the third hour of labor is 75. (Round your response to two decimal places.) If the wage paid to workers in Die Casť'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 wage is $25/hour, but the price of a bracket declines to $2.00, it should employ worker(s). (Enter your response as an…Gopher Excavators produces shovels in a small factory and sells the shovels in a competitive market. The following table shows the company's production function: Labor Output (Number of workers) (Shovels) 1 80 2 150 3 210 4 250 5 270 Use the blue points (circle symbol) to plot the production function for Gopher Excavators on the following graph. 300 270 240 Production Function 210 180 150 120 90 60 30 LABOR (Number of workers) OUTPUT (Shovels)60 50 40 30 20 10F 2 3 4 Number of Workers Employed per Week Refer to Figure 7-1. If this figure represents Total Product per week, what is the marginal product of the fourth worker hired each week? Quantity of Bicycles Per Week
- 9. Consider an isoquant/isocost diagram, with labour measured on the horizontal axis and capital measured on the vertical axis, which can then be used to derive a demand for labour diagram. Following a rise in the wage rate, which of the following statements would accurately describe the changes on the firm's demand curve for labour? (a) There would be a movement up the demand curve for labour and the smaller is the substitutability between the inputs, the more inelastic will be the demand curve for labour. (b) There would be a movement down the demand curve for labour and the smaller is the substitutability between the inputs, the more inelastic will be the demand curve for labour.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 $2.00. 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 1 50 2 90 3 120 4 140 5 150 155 157 6. The marginal product of labor for the first hour of labor is || (Enter your response as an integer.) The value of the marginal product of labor for the first 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 Casť's plant is $35/hour, it should employ worker(s). (Enter your response as an integer.) If the wage is $25/hour, but the price of a bracket declines to $1.50, it should employ worker(s). (Enter your response as an…According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuringplan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Priorto restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). Tohire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishidetermine that its marginal productivity of capital is 0.5 small cars per hour at its new targetedlevel of output and that capital is procured in a highly competitive market. The same studyindicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine therate at which Mitsubishi can rent capital and marginal productivity of labour at its new targetedlevel of output. To minimize costs…
- 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 $1.50. 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 50 90 120 140 150 155 157 4. 6. The marginal product of labor for the third hour of labor is 30. (Enter your response as an integer.) The value of the marginal product of labor for the third hour of labor is 45. (Round your response to two decimal places.) If the wage paid to workers in Die Cast's plant is $25/hour, it should employ 4 worker(s). (Entor your response as an integer.) If the wage paid to workers in Die Cast's plant is $35/hour, it ahould employ 3 worker(s). (Enter your response as an integer.) If the wage is $25/hour, but the price of a bracket declines to $1.00, it should employ worker(s). (Enter your response as an…Complete the table by computing the marginal product for each worker. Labor Total Output (Number of workers) (Pizzas per day) UNITS OF OUTPUT 9 90 80 70 8909 50 40 330 20 CH 10 HH 0 0 1 0 2 1 2 3 4 5 6 7 8 On the following graph, plot Brian's total output using the green points (triangle symbol). (Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. Be sure to plot the first point at (0, 0).) (?) 9 10 000 m2 58 8 3 18 30 43 55 65 73 79 82 80 4 5 6 NUMBER OF WORKERS 7 Marginal Product AAAAAAAAAA B 9 10 A Production FunctionSuppose we have a produ ction function for wheat Q = KL - 0.8K2 - 0.212 A. Given K = 10 Units, calculate the level of labourth at the AP reaches max andh ow Much wheatis produced at that point B. Given K = 10 at what level of labour outputreaches maximum C. How mu ch Ilevel of labor should the company hire in order to be efficient |