A store manager estimates that the demand for an energy drink decreases with increasing price according to

Question:

A store manager estimates that the demand for an energy drink decreases with increasing price according to the function d(p) = 100/p2 + 1, which means that at price p (in dollars), d(p) units can be sold. The revenue generated at price p is R(p) = p · d(p) (price multiplied by number of units).

a. Find and graph the revenue function.

b. Find and graph the marginal revenue R'(p).

c. From the graphs of R and R', estimate the price that should be charged to maximize the revenue.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Question Posted: