Pearson eText Microeconomics -- Access Card
7th Edition
ISBN: 9780136850045
Author: Hubbard, Glenn, O'Brien, Anthony
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 17, Problem 17.6.4PA
Subpart (a):
To determine
Calculation of Marginal product of capital, total revenue, marginal revenue product of capital, and the additional profit from renting one more capital.
Subpart (b):
To determine
Calculation of Marginal product of capital, total revenue, marginal revenue product of capital, and the additional profit from renting one more capital.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An effluent fee is imposed on a steel firm to reduce the amount of waste materials that it dumps in a river. Use the following two statements to answer this question:
I. The more easily factors of production can be substituted for one another (for example, capital can be used to reduce waste water), the more effective the fee will be in reducing effluent.
II. The greater the degree of substitution of capital for waste water, the less the firm will have to pay in effluent fees.
(Hint: See Example 7.4 in the textbook)
A.
Both I and II are true
B.
I is true and II is false
C.
Both I and II are false
D.
I is false and II is true
4. Ariel's T-shirt company hires labor at a rate of $8 per hour and rents capital (sewing machines)
at a cost of $128 per machine per day. Throughout this question, you can think of Ariel renting
fractions of sewing machines if necessary. Her production function is given by q = 6LK
where q measures the number of T-shirts produced each day, L measures the total number of
hours worked by all employees in a day and K measures the number of sewing machines.
(a) Using the Lagrangian technique, find the cost-minimizing combination of labor and
capital for the production of q T-shirts per day.
(b) Write down an equation for Ariel's long-run expansion path.
(c) Find Ariel's long-run total, average, and marginal cost as a function of the number of
T-shirts she produces each day.
(d) Sketch Ariel's long-run total expansion path in a diagram. Sketch at least two isoquants
with the associated isocost lines. Using your diagram, determine how Ariel's long-run
expansion path will shift if the cost of…
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:
Output
(Number of workers) (Shovels)
Labor
1
100
195
275
4
340
380
Use the blue points (circle symbol) to plot the production function for Gopher Excavators on the
following graph.
40
Producion Function
340
100
130
40
LABOR (Number of workana)
Calculate the marginal product of labor (MPL) of each worker, and then plot the MPL curve on the
following graph using the blue points (circle symbol).
Note: Remember to plot each point halfway between two integers. For example, when the number
of workers increases from 0 to 1, the MPL of the first worker should be plotted with a horizontal
coordinate of 0.5, the value halfway between 0 and 1. Line segments will automatically connect
the points.
(genoygl indino
Chapter 17 Solutions
Pearson eText Microeconomics -- Access Card
Ch. 17 - Prob. 17.1.1RQCh. 17 - Prob. 17.1.2RQCh. 17 - Prob. 17.1.3RQCh. 17 - Prob. 17.1.4RQCh. 17 - Prob. 17.1.5PACh. 17 - Prob. 17.1.6PACh. 17 - Prob. 17.1.7PACh. 17 - Prob. 17.1.8PACh. 17 - Prob. 17.1.9PACh. 17 - Prob. 17.2.1RQ
Ch. 17 - Prob. 17.2.2RQCh. 17 - Prob. 17.2.3PACh. 17 - Prob. 17.2.4PACh. 17 - Prob. 17.2.5PACh. 17 - Prob. 17.2.6PACh. 17 - Prob. 17.2.7PACh. 17 - Prob. 17.2.8PACh. 17 - Prob. 17.3.1RQCh. 17 - Prob. 17.3.2RQCh. 17 - Prob. 17.3.3PACh. 17 - Prob. 17.3.4PACh. 17 - Prob. 17.3.5PACh. 17 - Prob. 17.3.6PACh. 17 - Prob. 17.3.7PACh. 17 - Prob. 17.3.8PACh. 17 - Prob. 17.4.1RQCh. 17 - Prob. 17.4.2RQCh. 17 - Prob. 17.4.3RQCh. 17 - Prob. 17.4.4PACh. 17 - Prob. 17.4.5PACh. 17 - Prob. 17.4.6PACh. 17 - Prob. 17.4.7PACh. 17 - Prob. 17.4.8PACh. 17 - Prob. 17.4.9PACh. 17 - Prob. 17.4.10PACh. 17 - Prob. 17.4.11PACh. 17 - Prob. 17.4.12PACh. 17 - Prob. 17.4.13PACh. 17 - Prob. 17.4.14PACh. 17 - Prob. 17.4.15PACh. 17 - Prob. 17.4.16PACh. 17 - Prob. 17.4.17PACh. 17 - Prob. 17.4.18PACh. 17 - Prob. 17.4.19PACh. 17 - Prob. 17.5.1RQCh. 17 - Prob. 17.5.2RQCh. 17 - Prob. 17.5.3PACh. 17 - Prob. 17.5.4PACh. 17 - Prob. 17.5.5PACh. 17 - Prob. 17.5.6PACh. 17 - Prob. 17.5.7PACh. 17 - Prob. 17.6.1RQCh. 17 - Prob. 17.6.2RQCh. 17 - Prob. 17.6.3RQCh. 17 - Prob. 17.6.4PACh. 17 - Prob. 17.6.5PACh. 17 - Prob. 17.6.6PACh. 17 - The total amount of oil in the earth is not...Ch. 17 - Prob. 17.6.8PACh. 17 - Prob. 17.1CTECh. 17 - Prob. 17.2CTECh. 17 - Prob. 17.3CTE
Knowledge Booster
Similar questions
- 5. Suppose that a hot dog vendor uses a cart (K) and his time (L) to make and sell hot dogs. The vendor's production function is where Q is the number of hot dogs per day. Suppose that the rental on hot dog carts is $50 per day and that the vendor wants to Q = K0.3 10.7 produce 500 hot dogs per day. Use calculus to: a. derive the demand for labor. b. show that the demand for labor satisfies the law of demand. 2arrow_forward4. A decision at the margin. Juanita is a hard-working college sophomore. One Thursday, she decides to work nonstop until she has answered 50 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time 8:00 AM 9:00 AM 10:00 AM 11:00 AM Noon. Total Problems Answered 0 20 35 45 50arrow_forwardSuppose Fred produces 500 litres of milk every day with 10 workers. The price of milk is $12 per litre, and each worker is paid $550 daily. If the marginal product of the last worker employed is 40 litres of milk, explain whether Fred is maximizing his profit. If not, can Fred increase his profit by employing more or fewer workers? If Fred buys more dairy cattles, how will it affect his demand for labor? Explain with a diagram.arrow_forward
- You own a coffee shop and use both labor and capital to make lattes. Currently, the marginal product of labor is 50 lattes a day while the marginal product of capital is 20 lattes a day. You pay your labor $100/day, and you rent your Nuova Simonelli Appia Life Black 2 espresso machine for $25 a day. The price of a latte is $5. Are you employing your inputs effectively? If not, what would you do to increase efficiency?arrow_forwardAssume that Alex uses capital and labour to produce a good. The unit price of capital is $2 and the unit price of labour is $4. The initial stock of capital is 40 units and the initial quantity of labour is 20. If the stock of capital decreases to 20 units, what should be the additional quantity of labour if Alex wants to incur the same cost?arrow_forward3. Duane breeds parrots for a living. He has discovered that the production function for parrot chicks (Q) is: Q=K0.5 p0.5 where K is capital (for example nest boxes, cages and the like) and F is parrot food. The price of K is $8 and the price of F is $2. (a) What type of production function is this? Explain. (b) Does this production function exhibit constant, increasing or decreasing returns to scale? Provide a graph of the function using Excel. (c) Find the marginal products of capital and food. (d) Suppose that Duane wants 144 parrot chicks, how much K and F should be employed to minimise costs. What is the cost of producing 144 parrot chicks? 1 1 (e) Suppose that Duane is faced with the same problem as in (e) except that he has a fixed amount of K. In fact, K = 16. How much F should be bought to minimise costs? What is the total cost?arrow_forward
- marke Suppose that widgets can be produced using two different production techniques, A and B. The following table provides the total input requirements for each of five different total output levels. Q= 2 K L Q = 5 K L 7. Q= 1 Q = 4 Tech. K L K L K L 4 1 6. 9. 12 11 8. B 1 2 4 5. 12 15 Assuming that the price of labor (P) is $2 and the price of capital (PK) is $1, calculate the total cost of production for each of the five levels of output using the optimal (least-cost) technology at each level. To do this, complete the table below by calculating the total cost of production, filling in the missing values using the optimal (least-cost) technology at each level. (Enter your responses as whole numbers.) Q = 1 Q = 2 Q= 3 Q = 4 Q=5 Total Cost Enter your answer in the edit fielus and then click Check Answer. Help Me Solve This eText Pages Get More Help- Clear All Check Answer Cop %24 %24 48 25 %24arrow_forwardSuppose that you are starting up a lawn-raking business. All of your workers are required to supply their own rakes, so the only cost to you is hiring labor at an hourty rate. Suppose that the market price of raking someone's yard is $50 per lawn and the hourly wage is $25 per hour. The following graph shows the production function (PF) for your business. On the following graph, use the green line (triangle symbol) to plot the daily isoprofit curve that indicates the profit-maximizing level of output. (Hint: Derive the slope of the isoprofit curve and then move the curve up or down until it's in the position you warnt; this is because you do not know the amount of profit that will yield the desired curve.) Then use the black point (plus symbol) to indicate the profit-maximizing level of labor and output per day. Note: You will not be graded on any adjustments made to the graph. 100 90 Isoprofit 30 Profit Max 40 FF 20 LABOR Hours per day LAWNS RAKED PER DAYarrow_forwardAngela has been working at a real wage rate of $25 per hour. Illustrate in a diagram how Bruno’s decision to use more robots could affect Angela’s future levels of• real wage,• utility,• free time, and• consumption.Your diagram should have Angela’s daily free time on the horizontal axis and her daily consumption on the vertical axis. Briefly explain your diagram within 70 wordsarrow_forward
- Consider Live Happley Fields, a small player in the strawberry business whose production has no individual effect on wages and prices. Live Happley's production schedule for strawberries is given in the following table: Labor Output (Number of workers) (Pounds of strawberries) 1 18 34 3 48 4 60 70 Suppose that the market wage for strawberry pickers is $170 per worker per day, and the price of strawberries is $12 per pound. On the following graph, use the blue points (circle symbol) to plot Live Happley's labor demand curve when the output price is $12 per pound. Note: Remember to plot each point between the two integers. For example, when the number of workers increases from 0 to 1, the value of the marginal product of for the first worker should be plotted with a horizontal coordinate of 0.5, the value halfway between 0 and 1. Line segments will automatically connect the points. Demand P=$12 210 Demand P=$16 190 120 20 LABOR (Number of workera) ueuoM Jad seyog) 3oVarrow_forwardSuppose that you are starting up a lawn-raking business. All of your workers are required to supply their own rakes, so the only cost to you is hiring labor at an hourly rate. Suppose that the market price of raking someone's yard is $50 per lawn and the hourly wage is $25 per hour. The follovwing graph shows the production function (PF) for your business. On the following graph, use the green line (triangle symbol) to plot the daily isoprofit curve that indicates the profit-maximizing level of output. (Hint: Derive the slope of the isoprofit curve and then move the curve up or down until it's in the position you want; this is because you do not know the amount of profit that will yield the desired curve.) Then use the black point (plus symbol) to indicate the profit-maximizing level of labor and output per day. 100 90 Isoproft 80 70 60 Profit Max 50 40 30 20 10 PF 10 20 30 40 50 60 70 80 90 100 LABOR (Hours per day) Complete the following table with your findings regarding the…arrow_forwardsuppose Fred produces 500 litres of milk every day with 10 workers. the price of milk is $12 per litre, and each worker is paid $550 daily. if th margin product of the last worker employed is 40 litres of milk, explain whether Fred is maximizing his profit. If not, can Fred incrase his profit by employing more or fewer workers? If Fred buys more dairy cattles, how will it affect his demand for labor? Explain with a diagram.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSON
Engineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage Learning
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education