The demand, D, for a new rollerball pen is given by D= 0.007p3 - 0.8p? + 170p, 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. djwould you expect dD/dp to be positive or negative? dD dp

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
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The demand, D, for a new rollerball pen is given by D= 0.007p - 0.8p2 + 170p, 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?
a)
Transcribed Image Text:The demand, D, for a new rollerball pen is given by D= 0.007p - 0.8p2 + 170p, 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? a)
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