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?

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter3: Benefits, Costs, And Decisions
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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. 

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