A business sells items according to the following Cost and Revenue functions: C(x)=30x+8700Cx=30x+8700 R(x)=−1x2+390xRx=-1x2+390x   (a) Find the profit function: P(x)=Px=       (b) How many items should be sold to break even? (Round to the nearest whole number. Enter your answer as a comma-separated list if necessary) (Enter the smaller number first) x=x=      (c) What is the maximum profit for this business? (Round to two decimal places)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A business sells items according to the following Cost and Revenue functions:

C(x)=30x+8700Cx=30x+8700

R(x)=−1x2+390xRx=-1x2+390x

 

(a) Find the profit function:

P(x)=Px=    
 

(b) How many items should be sold to break even? (Round to the nearest whole number. Enter your answer as a comma-separated list if necessary)

(Enter the smaller number first)

x=x=   

 

(c) What is the maximum profit for this business? (Round to two decimal places)

 

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