a) Find the demand function D in terms of time tb) What is the demand in week 12? Round to the nearest unitc) At what instantaneous rate is demand changing in week 12? Express your answer to the nearestunit. 76500РSuppose that the demand function for a product is given by D(p) =and D is given in units purchased.Further suppose that the price p is a function of time given by 98-0.33t, where t = time in weeks(i.e. the price starts at 98 dollars when the product goes on sale and decreases by $0.33 every week).where p = price in dollars

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Answered: a) Find the demand function D in terms…

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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Question

a) Find the demand function D in terms of time t

b) What is the demand in week 12? Round to the nearest unit

c) At what instantaneous rate is demand changing in week 12? Express your answer to the nearest
unit.

76500
Р
Suppose that the demand function for a product is given by D(p) =
and D is given in units purchased.
Further suppose that the price p is a function of time given by 98-0.33t, where t = time in weeks
(i.e. the price starts at 98 dollars when the product goes on sale and decreases by $0.33 every week).
where p = price in dollars

Expert Solution

Step 1: given

$d e m a n d space f u n c t i o n D open parentheses p close parentheses space equals space 76500 over p p space equals space p r i c e space i n space d o l l a r s D space equals space u n i t s space p u r c h a s e d p open parentheses t close parentheses space equals space 98 space minus space 0.33 space t t space equals space t i m e space i n space w e e k s$