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?

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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 8CR

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