The table below shows the short-run production function for Josh's Consulting Firm. Number of Consultants Total Product per Hour 1 21 43 3 66 4 88 108 126 7 141 151 (a) After which consultant do diminishing marginal returns begin for Josh's Consulting Firm? Explain using numbers. (b) Assume Josh's Consulting Firm sells its consulting services in a perfectly competitive market at a unit price of $2. Calculate the marginal revenue product of the fifth consultant. Show your work. (c) Josh's Consulting Firm hires consultants in a perfectly competitive labor market for consultants at a wage rate of $41 per hour, and the market price of consulting services remains $2. How many consultants will Josh's Consulting Firm hire to maximize its profit? Explain using marginal analysis. (d) Assume the market price of consulting services increases as a result of an increase in the number of consumers. What will happen to each of the following?

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AP Microeconomics
Page 21 of 46
AP CollegeBoard
Test Booklet
Unit 5 Problem Set - FRQ's
Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram
must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to
"Calculate," you must show how you arrived at your final answer.
The table below shows the short-run production function for Josh's Consulting Firm.
Number of Consultants
Total Product
per Hour
1
21
2
43
3
66
4
88
108
6.
126
7
141
8.
151
(a) After which consultant do diminishing marginal returns begin for Josh's Consulting Firm? Explain using numbers.
(b) Assume Josh's Consulting Firm sells its consulting services in a perfectly competitive market at a unit price of $2.
Calculate the marginal revenue product of the fifth consultant. Show your work.
(c) Josh's Consulting Firm hires consultants in a perfectly competitive labor market for consultants at a wage rate of $41
per hour, and the market price of consulting services remains $2. How many consultants will Josh's Consulting Firm hire
to maximize its profit? Explain using marginal analysis.
(d) Assume the market price of consulting services increases as a result of an increase in the number of consumers. What
will happen to each of the following?
(i) The marginal factor cost for Josh's Consulting Firm. Explain.
(ii) The marginal revenue product curve for Josh's Consulting Firm. Explain.
19.
Respond to all parts of the question.
Please respond on separate paper, following directions from your teacher.
Transcribed Image Text:11:16 Fri 10O Dec * 9 80% ... managebac-prod-china.s3.cn-north-1.amazonaws.com.cn A 22 of 46 AP Microeconomics Page 21 of 46 AP CollegeBoard Test Booklet Unit 5 Problem Set - FRQ's Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. The table below shows the short-run production function for Josh's Consulting Firm. Number of Consultants Total Product per Hour 1 21 2 43 3 66 4 88 108 6. 126 7 141 8. 151 (a) After which consultant do diminishing marginal returns begin for Josh's Consulting Firm? Explain using numbers. (b) Assume Josh's Consulting Firm sells its consulting services in a perfectly competitive market at a unit price of $2. Calculate the marginal revenue product of the fifth consultant. Show your work. (c) Josh's Consulting Firm hires consultants in a perfectly competitive labor market for consultants at a wage rate of $41 per hour, and the market price of consulting services remains $2. How many consultants will Josh's Consulting Firm hire to maximize its profit? Explain using marginal analysis. (d) Assume the market price of consulting services increases as a result of an increase in the number of consumers. What will happen to each of the following? (i) The marginal factor cost for Josh's Consulting Firm. Explain. (ii) The marginal revenue product curve for Josh's Consulting Firm. Explain. 19. Respond to all parts of the question. Please respond on separate paper, following directions from your teacher.
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Molly's Motorcycles is the only motorcycle repair shop in a small remote town, and Molly's Motorcycles is the only
employer of mechanics in the area. The graph below shows the market for mechanics with the marginal factor (resource)
cost curve, the labor supply curve, and the marginal revenue product curve.
‚Marginal
Factor Cost
Supply
44
38
32
26
17
Marginal
Revenue Product
8
180
210
150
300
315
360 400 Quantity of
Mechanics
45
90 120
240
(a) Identify the profit-maximizing number of mechanics that Molly's Motorcycles will hire. Explain using the labeling on
the graph.
(b) Identify the profit-maximizing wage rate that Molly's Motorcycles will pay its mechanics. Explain using the labeling
on the graph.
(c) If the wage rate is $38, state whether there will be a shortage or a surplus of mechanics and calculate its size. Show
your work.
(d) If the marginal product of mechanics decreases, what will happen to the quantity of services provided by Molly's
Motorcycles? Explain.
(e) Assume instead that Molly's Motorcycles uses both labor and capital in providing its services. The marginal product of
the last unit of labor hired is 100 repairs per day and the marginal product of the last unit of capital rented is 60 repairs per
Page 30 of 46
AP Microeconomics
AP CollegeBoard
Test Booklet
Unit 5 Problem Set - FRQ's
day; the daily wage rate for labor is $20 and the daily rental price for capital is $30. To minimize the cost of providing its
current level of service, should Molly's Motorcycles rent more capital, less capital, or the same amount of capital?
Explain using marginal analysis.
Wage Rate ($)
Transcribed Image Text:11:21 Fri 10 Dec VPN O 79% managebac-prod-china.s3.cn-north-1.amazonaws.com.cn A 30 of 46 Molly's Motorcycles is the only motorcycle repair shop in a small remote town, and Molly's Motorcycles is the only employer of mechanics in the area. The graph below shows the market for mechanics with the marginal factor (resource) cost curve, the labor supply curve, and the marginal revenue product curve. ‚Marginal Factor Cost Supply 44 38 32 26 17 Marginal Revenue Product 8 180 210 150 300 315 360 400 Quantity of Mechanics 45 90 120 240 (a) Identify the profit-maximizing number of mechanics that Molly's Motorcycles will hire. Explain using the labeling on the graph. (b) Identify the profit-maximizing wage rate that Molly's Motorcycles will pay its mechanics. Explain using the labeling on the graph. (c) If the wage rate is $38, state whether there will be a shortage or a surplus of mechanics and calculate its size. Show your work. (d) If the marginal product of mechanics decreases, what will happen to the quantity of services provided by Molly's Motorcycles? Explain. (e) Assume instead that Molly's Motorcycles uses both labor and capital in providing its services. The marginal product of the last unit of labor hired is 100 repairs per day and the marginal product of the last unit of capital rented is 60 repairs per Page 30 of 46 AP Microeconomics AP CollegeBoard Test Booklet Unit 5 Problem Set - FRQ's day; the daily wage rate for labor is $20 and the daily rental price for capital is $30. To minimize the cost of providing its current level of service, should Molly's Motorcycles rent more capital, less capital, or the same amount of capital? Explain using marginal analysis. Wage Rate ($)
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