A company produces a special new type of TV. The company has fixed costs of ​$474,000​ and it costs ​$1300 to produce each TV. The company projects that if it charges a price of ​$2500 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 ​$2200. Assume a linear demand.   What price should the company charge to earn a profit of ​$966,000​?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 9ECP
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A company produces a special new type of TV. The company has fixed costs of
​$474,000​
and it costs
​$1300
to produce each TV. The company projects that if it charges a price of
​$2500
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
​$2200.
Assume a linear demand.
 
What price should the company charge to earn a profit of
​$966,000​?

 

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For the formula in step 1 where did you get the 7300 -P. I understand how to find the other numbers but the 7300 is what is confusing me. 

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