   Chapter 2.1, Problem 56E

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# The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p dollars per pound is Q = f ( p ) .(a) What is the meaning of the derivative f ′ ( 8 ) ? What are its units?(b) Is f ′ ( 8 ) positive or negative? Explain.

For part (a):

To determine

To Explain:  The meaning of the derivative f(8) and its unit.

Explanation

The derivative gives the change in quantity sold with respect to a change in the price.In this case, f(8) is the rate of change of the quantity of coffee sold if the price is increased from \$8 per pound.

Q = f (p)

f'p=dqdp

Quantity is in pounds and price is in dollar

Part (b):

To determine

To check: Whether  f(8) is positive or negative.

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