The following schedule shows the technology of production at Mahalo Macadamia Nut Farm for 2015: Total Pounds of Macadamia Nuts Per Workers 0 12345 6 Day 0 120 210 270 300 315 306 If macadamia nuts sell for $6 per pound and workers can be hired in a competitive labor market for $180 per day, how many workers should be hired? The firm should hire worker(s). (Enter your response as an integer.) What if workers unionized and the wage rose to $540? The firm should hire worker(s). (Enter your response as an integer.)
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- How do we calculate marginal product?Do you think that the taxicab industry in large cities would be subject to significant economies of scale? Why or why not?TOTAL AND MARGINAL PRODUCT Total Product [Output] 70 60 50 40 30 20 10 0 Marginal Product 20 10 0 -10 -20 1 Labor Input 1 2 2 2 3 3 4 5 5 6 6 7 7 8 Labor Input 8 Reset Labor Input 8 EEPRODUCTIVITY CALCULATIONS Labor Input 0 Output 0 Marginal Product structions: Move the slider at the bottom of the diagram to change the quantity of labor hired for both graphs and the table. ) What is the marginal product of the third worker? ) What is the marginal product of the fifth worker? c) If units of output are sold for $0.80 each, how much revenue does the firm gain by selling the additional units attributed to the 3rd worker? $ How much revenue does the firm gain by selling the additional output from the fifth worker? $
- A firm can use three different production technologies, with capital and labour requirements at each level of output as follows:Daily OutputTechnology 1 Technology 2 Technology 3K L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a) Suppose the firm is operating in a high-wage country, where capital cost is $100 per unit per day and labour cost is $80 per worker per day. For each level of output, which technology is the cheapest?b) Now suppose the firm is operating in a low-wage country, where capital cost is $100 per unit per day and labour cost is $40 per worker per day. For each level of output, which technology is the cheapest?c) Suppose the firm moves from a high-wage to a low-wage country but that its level of output remains constant at 200 units per day. How will its total employment change?15. A firm can use three different production technologies, withcapital and labor requirements at each level of output as follows:TECHNOLOGY 1 TECHNOLOGY 2 TECHNOLOGY 3DailyOutputK L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a. Suppose the firm is operating in a high-wage country, wherecapital cost is $100 per unit per day and labor cost is $80 perworker per day. For each level of output, which technologyis cheapest?b. Now suppose the firm is operating in a low-wage country,where capital cost is $100 per unit per day but labor cost isonly $40 per unit per day. For each level of output, whichtechnology is cheapest?c. Suppose the firm moves from a high-wage to a low-wagecountry but its level of output remains constant at 200 units(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.
- 25 - Suppose that the firm's only variable input is labor. When 50 workers are used, the average product of labor is 50 and the marginal product of labor is 75. The wage rate is $80 and the total cost of the fixed input is $500. What is the marginal cost? a) $1.06 b) $3.20 c) $0.94 138317 d) $0.63TOTAL AND MARGINAL PRODUCT Total Product [Output] 70 60 50 40 30 20 10 0 Marginal Product 20 10 0 -10 -20 1 Labor Input 1 2 2 2 3 3 4 4 5 5 6 6 7 7 Reset 8 Labor Input 8 Labor Input PRODUCTIVITY CALCULATIONS Labor Input 0 Output 0 Marginal Product Instructions: Move the slider at the bottom of the diagram to change the quantity of labor hired for both graphs and the table. Move the production slider to 4 units of labor. Suppose you had the information for the L=1 row and the L-4 row, but the row(s) in between them were missing and you didn't have any information in the Marginal Product column. If you wanted to estimate the marginal product, you might assume the marginal products of each of the 3 additional workers are equal. a. Estimate the marginal product of each additional worker if L were to increase from 1 to 4. b. Calculate the slope of the total production function between L-1 and L=4. LGiven the hourly costs: Machine-P60; Worker-P50 Each input has to work in integer hour Hours Used 1 2 3 45 6 98 7 8 Marginal Product Machine 15 18 21 18 15 12 9 3 Worker 8 10 10 10 8 8 6 6 4 42 2 If the daily budget for the 2 inputs is P570, what is the optimal mix of machine-hours and worker-hours, respectively? [Select] What is the total product for this optimal mix of machine- hr & worker-hr with daily budget of P570 ? [Select] After how many hours of use does diminishing marginal return (product) set in for the machine?
- 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?2. (Short-run costs, Evren wants to go into the donut business. For $500 per month he can rent a bakery complete with all the equipment he needs to make a dozen different kinds of donuts (K=1, r= 500). He must pay unionized donut bakers a monthly salary of $400 each. He projects his monthly production function to be Q = 5KL where Q is tons of donuts. a. With the current level of capital, what is the marginal product of labor? Is the marginal product diminishing? Explain. b. If Evren, wishes to make 25 tons of donuts, how many bakers are required given the current level of capital? How much will it cost to produce this (total cost)? c. Derive Evren's short-run cost function with K = 1. d. Derive the marginal cost curve from your answer to c. and show the relationship between the marginal cost and marginal product of labor.15. PLEASE ONLY C. A firm can use three different production technologies, withcapital and labor requirements at each level of output as follows:TECHNOLOGY 1 TECHNOLOGY 2 TECHNOLOGY 3DailyOutputK L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a. Suppose the firm is operating in a high-wage country, wherecapital cost is $100 per unit per day and labor cost is $80 perworker per day. For each level of output, which technologyis cheapest?b. Now suppose the firm is operating in a low-wage country,where capital cost is $100 per unit per day but labor cost isonly $40 per unit per day. For each level of output, whichtechnology is cheapest?c. Suppose the firm moves from a high-wage to a low-wagecountry but its level of output remains constant at 200 units