28 Oct 2021
Problem 50b
Page 144
Section 2.6: Derivatives and Rates of Change
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
28 Oct 2021
Given information
Given that the quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of dollars per pound is .
Step-by-step explanation
Step 1.
Here
Therefore, the rate of change of with respect to is .
The represents the rate of change in the quantity sold at the price of dollars per pound.
For , the value of represents the rate of change the quantity sold at the price of 8 dollars per pound.
Now, when the price of coffee increase per pound, the quantity sold at that price will decrease. Therefore, will be negative.