The demand x for a web camera is 35,000 units per month when the price is $25 and 40,000 units when the price Find the profit P, in dollars, as a function of x. $15. The initial investment is $250,000 and the cost per unit is $12. Assume that the demand is a linear function of the price. P(x) = Using the differential approximate the change in profit for a one-unit increase in sales when x = 21,000. dP dollars

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 35,000 units per month when the price is $25 and 40,000 units when the price is $15. The initial investment is $250,000 and the cost per unit is $12. 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 = 21,000
 
dP = ____ dollars
 
What steps or reasoning did you use?
The demand x for a web camera is 35,000 units per month when the price is $25 and 40,000 units when the price is $15. The initial investment is $250,000 and the cost per unit is $12. 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 = 21,000.
dP =
dollars
Transcribed Image Text:The demand x for a web camera is 35,000 units per month when the price is $25 and 40,000 units when the price is $15. The initial investment is $250,000 and the cost per unit is $12. 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 = 21,000. dP = dollars
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