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 = 33(3p + 1)-2/5, p> 0 (a) What is the rate of change in sales volume when the price is $18? (Round your answer to three decimal places.) dy = -.145 dp (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by x units.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 = 33(3p + 1)-2/5, p > o
(a) What is the rate of change in sales volume when the price is $18? (Round your answer to three decimal places.)
dy
.145
dp
(b) Interpret your answer to part (a). (Round your answer to the nearest whole number.)
If the price increases $1, the sales volume will decrease by
X units.
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 = 33(3p + 1)-2/5, p > o (a) What is the rate of change in sales volume when the price is $18? (Round your answer to three decimal places.) dy .145 dp (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by X units.
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