A company produces a special new type of TV. The company has fixed costs of ​$452,000​, and it costs ​$1200 to produce each TV. The company projects that if it charges a price of ​$2600 for the​ TV, it will be able to sell 800 TVs. If the company wants to sell 850 ​TVs, however, it must lower the price to ​$2300. Assume a linear demand.   If the company sets the price of the TV to be ​$3800​, how many can it expect to​ sell?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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A company produces a special new type of TV. The company has fixed costs of
​$452,000​,
and it costs
​$1200
to produce each TV. The company projects that if it charges a price of
​$2600
for the​ TV, it will be able to sell
800
TVs. If the company wants to sell
850
​TVs, however, it must lower the price to
​$2300.
Assume a linear demand.
 
If the company sets the price of the TV to be
​$3800​,
how many can it expect to​ sell?
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