Q14

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 34 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