Ifpis price in dollars andqis quantity, demand for a product is given by

q=8000e^-0.04p.

(a)What quantity is sold at a price of$40?

Round your answer to the nearest integer.

q(40)=___________units

(b)Find the derivative of demand with respect to price when the price is$40and interpret your answer in terms of demand.

Round your answer to the nearest integer.

q(40)=

Choose one:

a. At a price of $40, a $40 increase in price will result in an increase in quantity demand by |q'(40)| units.

b. At a price of $40, a $40 increase in price will result in a decrease in quantity demand by |q'(40)| units.

c. At a price of $40, a $1 increase in price will result in a decrease in quantity demand by |q'(40)| units.

d. At a price of $40, a $1 increase in price will result in an increase in quantity demand by |q'(40)| units.