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) Find dy dp dy dp What is the rate of change in sales volume when the price is $22? (Round your answer to three decimal places.) dy dp p = 22 (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.

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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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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 > 0
dy
dp
(a) Find
dy
dp
=
What is the rate of change in sales volume when the price is $22? (Round your answer to three decimal places.)
dy
dp p = 22
=
(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.
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 > 0 dy dp (a) Find dy dp = What is the rate of change in sales volume when the price is $22? (Round your answer to three decimal places.) dy dp p = 22 = (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.
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