A business sells items according to the following Cost and Revenue functions: C(x)=25x+4300Cx=25x+4300 R(x)=−4x2+320xRx=-4x2+320x   (a) Find the profit function: P(x)=Px=       (b) Find the average profit function: Pˉ(x)=P‾x=      (b) How many items should be sold to have an average profit of $4 per item? (Round to the nearest whole number. Enter your answer as a comma-separated list if necessary)

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Author:Ron Larson
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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
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A business sells items according to the following Cost and Revenue functions:

C(x)=25x+4300Cx=25x+4300

R(x)=−4x2+320xRx=-4x2+320x

 

(a) Find the profit function:

P(x)=Px=    

 

(b) Find the average profit function:

Pˉ(x)=P‾x=   

 

(b) How many items should be sold to have an average profit of $4 per item? (Round to the nearest whole number. Enter your answer as a comma-separated list if necessary)

(Enter the smaller number first)

x=x=   

 

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