Suppose 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 $24 per lawn and the hourly wage is $18 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. (Mint: Derive the slope of the isoprofit curve and then move the curve up or down until ies 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. Note: You will not be graded on any adjustments made to the graph.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.3P
icon
Related questions
Question
Suppose 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 $24 per lawn and the hourly wage is $18 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 dally 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.
Note: You will not be graded on any adjustments made to the graph.
100
90
Isoprofit
70
Profit Max
60
50
40
30
20
10
PF
30
40
50
60
70
80
90
100
10 20
LABOR (Hours per day)
LAWNS RAKED PER DAY
8 8 8
Transcribed Image Text:Suppose 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 $24 per lawn and the hourly wage is $18 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 dally 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. Note: You will not be graded on any adjustments made to the graph. 100 90 Isoprofit 70 Profit Max 60 50 40 30 20 10 PF 30 40 50 60 70 80 90 100 10 20 LABOR (Hours per day) LAWNS RAKED PER DAY 8 8 8
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 profit-maximizing outcome.
Economic Object
Amount per Day
Profit-maximizing labor
hours
Profit-maximizing output
lawns
Profit earned
True or False: At the profit-maximizing level of labor, the marginal product of labor is equal to the wage rate of $18 per hour.
O True
decrease
False
increase
If the wage rate decreases, you will
the production of raked lawns to maximize profit.
Transcribed Image Text: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 profit-maximizing outcome. Economic Object Amount per Day Profit-maximizing labor hours Profit-maximizing output lawns Profit earned True or False: At the profit-maximizing level of labor, the marginal product of labor is equal to the wage rate of $18 per hour. O True decrease False increase If the wage rate decreases, you will the production of raked lawns to maximize profit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Savings
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning