company produces a special new type of TV. The company has fixed costs of ​$486,000​, and it costs ​$1200 to produce each TV. The company projects that if it charges a price of ​$2500 for the​ TV, it will be able to sell 750 TVs. If the company wants to sell 800 ​TVs, however, it must lower the price to ​$2200. Assume a linear demand.   What price should be set to earn maximum​ profits?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A company produces a special new type of TV. The company has fixed costs of
​$486,000​,
and it costs
​$1200
to produce each TV. The company projects that if it charges a price of
​$2500
for the​ TV, it will be able to sell
750
TVs. If the company wants to sell
800
​TVs, however, it must lower the price to
​$2200.
Assume a linear demand.
 
What price should be set to earn maximum​ profits?
 
It is
​$enter your response here
 
per TV.
​(Round answer to two decimal​ places.)
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