A manufacturer estimates that she can sell a maximum of 90 thousand cell phones in a city. By advertising heavily, her total sales grow at a rate proportional to the distance below this upper limit. If she enters a new market, and after 3 months her total sales are 7 thousand phones, find a formula for the total sales (in thousands) t months after entering the market, and use this to estimate the total sales at the end of the first year. Total sales at end of the first year: thousand phones

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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A manufacturer estimates that she can sell a maximum of 90 thousand cell phones in a city. By advertising
heavily, her total sales grow at a rate proportional to the distance below this upper limit.
If she enters a new market, and after 3 months her total sales are 7 thousand phones, find a formula for
the total sales (in thousands) t months after entering the market, and use this to estimate the total sales
at the end of the first year.
Total sales at end of the first year:
thousand phones
Give your answer to at least 1 decimal place
Transcribed Image Text:A manufacturer estimates that she can sell a maximum of 90 thousand cell phones in a city. By advertising heavily, her total sales grow at a rate proportional to the distance below this upper limit. If she enters a new market, and after 3 months her total sales are 7 thousand phones, find a formula for the total sales (in thousands) t months after entering the market, and use this to estimate the total sales at the end of the first year. Total sales at end of the first year: thousand phones Give your answer to at least 1 decimal place
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