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Problem

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Textbook Expert
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.

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