The demand x for a web camera is 40,000 units per month when the price is $20 and 45,000 units when the price is $15. The initial investment is $250,000 and the cost per unit is $13. Assume that the demand is a linear function of the price. Find the profit P, in dollars, as a function of x.   P(x)=   Using the differential approximate the change in profit for a one-unit increase in sales when  x = 26,000.   dP=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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The demand x for a web camera is 40,000 units per month when the price is $20 and 45,000 units when the price is $15. The initial investment is $250,000 and the cost per unit is $13. Assume that the demand is a linear function of the price. Find the profit P, in dollars, as a function of x.

 

P(x)=

 

Using the differential approximate the change in profit for a one-unit increase in sales when 

x = 26,000.
 
dP=
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