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.
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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fb337a0-9a98-4ec4-965f-d9970fe27ae6%2F08cbf976-1e17-486c-b653-377871355023%2Fv3s1f99_processed.png&w=3840&q=75)
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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