You have just introduced a new 3D monitor to the market. You predict that you will eventually sell 80,000 monitors and that your monthly rate of sales will be 11% of the difference between the saturation value of 80,000 and the total number you have sold up to that point. Find a differential equation for your total sales S(t) (as a function of the month) and solve. (What are your total sales at the moment when you first introduce the monitor?)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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You have just introduced a new 3D monitor to the market. You predict that you will eventually sell 80,000 monitors and that your monthly rate of sales will be 11% of the difference between the saturation value of 80,000 and the total number you have sold up to that point. Find a differential equation for your total sales S(t) (as a function of the month) and solve. (What are your total sales at the moment when you first introduce the monitor?)

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