The demand for Sportsman 5 X 7 tents is given by the following function where p is measured in dollars and x is measured in units of a thousand. (Round your answers to three decimal places.)

Question

p = f(x) = −0.1x^2 − x + 40
(a) Find the average rate of change in the unit price of a tent if the quantity demanded is between the following intervals.
between 5700 and 5750 tents= $ per 1000 tents
between 5700 and 5710 tents = $ per 1000 tents

(b) What is the rate of change of the unit price if the quantity demanded is 5700?
$ per 1000 tents

Answer 1

a) between 5700 and 5750 tents = -$0.100 per 1000 tents; between 5700 and 5710 tents = -$0.100 per 1000 tents
b) rate of change of the unit price if the quantity demanded is 5700 = -$0.100 per 1000 tents