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- 1. Optimal Use of a Single Input. Julian Smyth manages production at Taffy Apple Inc., a company that produces a variety of taffy/fruit candies. Over the last several months, he has varied the number of employees on his caramel apple production line from 5 to 12, and found the following relationship. Labor S67∞a 5 8 9 10 11 12 TP 50 90 150 200 240 270 290 300 MP VMP a. In the column labeled MP, calculate the marginal product of labor. b. Suppose the apples sell for $6 per (dozen) box. Calculate the Value Marginal Product (VMP) c. If labor costs $200 per day, how many laborers should the firm hire? NumberIf 11 workers can produce a total of 54 units of a product and a 12th worker has a marginal product of 6 units, what is the average product of 12 workers?In the example presented by this graph, at what number of workers does the point of diminishing marginal product occur? The Production Function and Marginal Product Total Output 70 Total output Marginal Number (number of meals of workers served per hour) product of labor 30 10 10 15 15 9 10 Number of workers 1234 S678 30 la) 12 42 Marginal Product of Labor 10 52 15 60 10 65 67 -5 -10 123456789 10 Number of workers (b) Click to view larger image. a. Ninth worker b. Second worker С. c. Fourth worker d. Third worker
- 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…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 amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. The following table shows the total and marginal products of labor for a trawler. Crew Size (L) (No. of Workers) Amount of Fish Caught per Week ( Q) (Hundreds of Lbs) Marginal Product ( MPL) (Hundreds of Lbs) 5 15 10 30 15 55 25 80 25 95 15 105 10 110 5 10 110 11 105 -5 12 95 -10 Suppose the owner of the trawler can sell all the fish caught for $75 per 100 pounds and can hire as many crew members as desired by paying them $1,125 per week. Assuming that the owner of the trawler is interested in maximizing profits, what is the optimal crew size? workers |2 3 4 5 67 8 9을
- workers ouput marginal product total cost average total cost marginal cost 0 0 0 200 0 $0 1 20 20 300 $15 $5 2 50 30 400 $8 $3.33 3 90 40 500 $5.56 $2.50 4 120 30 600 $5 $3.33 5 140 20 700 $5 $5 6 150 10 800 $5.33 $10 7 155 5 900 $5.8 $20 can you explain diminishing marginal product based on these numbers?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…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 Function
