A company produces and sells hair dryers in a market where price (p) and demand (D) are related as follows: p = $35 + (3,000)/D – (4,800)/D² %3D The fixed cost (C;) is $800 per month and the variable cost per hair dryer (c,) is $38. a) How many hair dryers should be produced each month to maximize profits? b) How much is the maximum profit each month?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
100%
A company produces and sells hair dryers in a
market where price (p) and demand (D) are
related as follows:
p = $35 + (3,000)/D – (4,800)/D²
%3D
The fixed cost (C;) is $800 per month and the
variable cost per hair dryer (c,) is $38.
a) How many hair dryers should be produced
each month to maximize profits?
b) How much is the maximum profit each
month?
Transcribed Image Text:A company produces and sells hair dryers in a market where price (p) and demand (D) are related as follows: p = $35 + (3,000)/D – (4,800)/D² %3D The fixed cost (C;) is $800 per month and the variable cost per hair dryer (c,) is $38. a) How many hair dryers should be produced each month to maximize profits? b) How much is the maximum profit each month?
Expert Solution
Step 1

Given 

The demand curve facing the company:

P=35+3000D-4800D2  ........... (1)

Fixed cost  FC = $800 and VC =38 per hair dryer. 

Cost function: TC = 800+38Q

Q is the number of hairdryers. 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Cost of Production
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