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Demand Suppose the demand for a certain item is given by

Chapter 3, Problem 49A

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QUESTION:

Problem 49A

Demand Suppose the demand for a certain item is given by D(p) = −2p2 − 4p + 300, where prepresents the price of the item in dollars.

a. Find the rate of change of demand with respect to price.

b. Find and interpret the rate of change of demand when the price is $10.

Questions & Answers

QUESTION:

Problem 49A

Demand Suppose the demand for a certain item is given by D(p) = −2p2 − 4p + 300, where prepresents the price of the item in dollars.

a. Find the rate of change of demand with respect to price.

b. Find and interpret the rate of change of demand when the price is $10.

ANSWER:

Step 1 of 2

Consider the given expression:

To find rate of change with respect to price, let differentiate with respect to p,

                                           

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