A company has determined that if the unit price of a certain commodity is P, the demand is D = V5000 – p² thousand units. At the end of the year 2017 the price will be $3. Starting on January 1, 2018, the company will increase the price at a rate of $0.07 per day. (a) If t is the number of days after December 31st, 2017, express the price p as a function of t. (b) Express D as a function of t. (c) At what rate (in thousands of units/day) is the demand changing 100 days after December 31st, 2017?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A company has determined that if the unit price of a certain commodity is P, the
demand is
D = V5000 – p² thousand units.
At the end of the year 2017 the price will be $3. Starting on January 1, 2018, the
company will increase the price at a rate of $0.07 per day.
(a) If t is the number of days after December 31st, 2017, express the price p as a
function of t.
(b) Express D as a function of t.
(c) At what rate (in thousands of units/day) is the demand changing 100 days
after December 31st, 2017?
Transcribed Image Text:A company has determined that if the unit price of a certain commodity is P, the demand is D = V5000 – p² thousand units. At the end of the year 2017 the price will be $3. Starting on January 1, 2018, the company will increase the price at a rate of $0.07 per day. (a) If t is the number of days after December 31st, 2017, express the price p as a function of t. (b) Express D as a function of t. (c) At what rate (in thousands of units/day) is the demand changing 100 days after December 31st, 2017?
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