A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical education program. The group finds that when they set their price at x dollars per bar (where 0

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 school fund-raising group sells chocolate bars to help finance a swimming pool for
their physical education program. The group finds that when they set their price at x dollars
per bar (where 0 <xs 5), their total sales revenue (in dollars) is given by the function
R(x) = -500x² + 3000x.
(a) Evaluate R(2) and R(4). What do these values represent?
(b) Use a graphing calculator to draw a graph of R. What does the graph tell us about
what happens to revenue as the price increases from 0 to 5 dollars?
(c) What is the maximum revenue, and at what price is it achieved?
Transcribed Image Text:A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical education program. The group finds that when they set their price at x dollars per bar (where 0 <xs 5), their total sales revenue (in dollars) is given by the function R(x) = -500x² + 3000x. (a) Evaluate R(2) and R(4). What do these values represent? (b) Use a graphing calculator to draw a graph of R. What does the graph tell us about what happens to revenue as the price increases from 0 to 5 dollars? (c) What is the maximum revenue, and at what price is it achieved?
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