A manufacturer estimates that she can sell a maximum of 100 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 4 months her total sales are 18 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A manufacturer estimates that she can sell a maximum of 100
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 4 months her total
sales are 18 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 100 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 4 months her total sales are 18 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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