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)
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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Question
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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