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 = 28(3p + 1)−2/5,  p > 0 (a) What is the rate of change in sales volume when the price is $24? (Round your answer to three decimal places.) dy 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  units.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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 = 28(3p + 1)−2/5,  p > 0
(a) What is the rate of change in sales volume when the price is $24? (Round your answer to three decimal places.)
dy
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  units.
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