Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formu y = 30(3p + 1)-2/5, p > 0 dy (a) Find dp dy dp What is the rate of change in sales volume when the price is $21? (Round your answer to three decimal places.) ápp = 21 (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, sales volume will decrease by about units. Need Help? Read It

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula.
y = 30(3p + 1)-2/5, p > 0
dy
(a) Find
dp
dy
dp
What is the rate of change in sales volume when the price is $21? (Round your answer to three decimal places.)
dy
dp Ip = 21
(b) Interpret your answer to part (a). (Round your answer to the nearest whole number.)
If the price increases $1, sales volume will decrease by about
units.
Need Help?
Read It
Transcribed Image Text:Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula. y = 30(3p + 1)-2/5, p > 0 dy (a) Find dp dy dp What is the rate of change in sales volume when the price is $21? (Round your answer to three decimal places.) dy dp Ip = 21 (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, sales volume will decrease by about units. Need Help? Read It
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