2. The function q(p) = 5e^(.01p2−3p+10) models the demand of bananas when price is set at p dollars per pound. (a) Find the function R(p) to model revenue generated by banana sales when price is set at p dollars per pound. (b) Find the derivative R′(p), clearly explaining the process using chain rule and/or product rule when necessary. (c) Evaluate both R(p) and R′(p) when p = 0.33. Interpret both with a complete sentence answering the questions: When? What? How? By how much?

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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2. The function q(p) = 5e^(.01p2−3p+10) models the demand of bananas when price is set at
p dollars per pound.
(a) Find the function R(p) to model revenue generated by banana sales when price
is set at p dollars per pound.
(b) Find the derivative R′(p), clearly explaining the process using chain rule and/or
product rule when necessary.
(c) Evaluate both R(p) and R′(p) when p = 0.33. Interpret both with a complete
sentence answering the questions: When? What? How? By how much?
(d) Evaluate both R(p) and R′(p) when p = 0.34. Interpret both with a complete
sentence answering the questions: When? What? How? By how much?

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