he demand, D, for a new rollerball pen is given by D = 0.006p° - 0.4p + 180p, wherep is the price in Find the rate of change of quantity with respect to price, dD/dp. How many units will consumers want to buy when the price is $25 per unit?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The demand, D, for a new rollerball pen is given by D=0.006p° - 0.4p + 180p, where p is the price in dollars
a) Find the rate of change of quantity with respect to price, dD/dp.
b)How many units will consumers want to buy when the price is $25 per unit?
c)Find the rate of change at p = 25, and interpret this result.
d)Would you expect dD/dp to be positive or negative?
dD
dp
Transcribed Image Text:The demand, D, for a new rollerball pen is given by D=0.006p° - 0.4p + 180p, where p is the price in dollars a) Find the rate of change of quantity with respect to price, dD/dp. b)How many units will consumers want to buy when the price is $25 per unit? c)Find the rate of change at p = 25, and interpret this result. d)Would you expect dD/dp to be positive or negative? dD dp
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