An automobile repair shop charges the competitive market price of $16 per bike repaired. The firm's short-run total cost is given by STC(Q) = Q³/3. 1. What quantity should the firm produce if it wants to maximize its profit? 2. What is the maximized profit at the optimal level of quantity and the price of $16 ( round to two decimal points )? 3. Draw the shop's total revenue and total cost curves, and graph the total profit on the same diagram. Using your graph, label the point of profit-maximizing quantity and its profit level.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
An automobile repair shop charges the
competitive market price of $16 per bike
repaired. The firm's short-run total cost is given
by STC(Q) = Q³/3.
1. What quantity should the firm produce if it
wants to maximize its profit?
2. What is the maximized profit at the optimal
level of quantity and the price of $16 (
round to two decimal points )?
3. Draw the shop's total revenue and total cost
curves, and graph the total profit on the
same diagram. Using your graph, label the
point of profit-maximizing quantity and its
profit level.
4. Suppose now the new price is P'. What is
the profit-maximizing quantity as a function
of P'. If the price increases by a factor of
four (i.e. price = 4P'), how much does the
profit-maximizing quantity increase?
Transcribed Image Text:An automobile repair shop charges the competitive market price of $16 per bike repaired. The firm's short-run total cost is given by STC(Q) = Q³/3. 1. What quantity should the firm produce if it wants to maximize its profit? 2. What is the maximized profit at the optimal level of quantity and the price of $16 ( round to two decimal points )? 3. Draw the shop's total revenue and total cost curves, and graph the total profit on the same diagram. Using your graph, label the point of profit-maximizing quantity and its profit level. 4. Suppose now the new price is P'. What is the profit-maximizing quantity as a function of P'. If the price increases by a factor of four (i.e. price = 4P'), how much does the profit-maximizing quantity increase?
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Profit Maximization
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
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)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
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-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education