Mathematics - Calculus
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Sales and Saturation Point : Integration using Separation of Variables - The rate of increase in sales ... (Please see the attached file)
Sales: The rate of increase in sales S (in thousands of units) of a product is proportional to the current level of sales and inversely proportional to the square of the time t. This is described by the differential equation:
dS/dt = kS/t^2
where t is the time in years. The saturation point for the market is 60,000 units. That is, the limit as t --> infinity is 60. After 1 year, 5,000 units have been sold (S = 5). Find S as a function of t.
Hint: Use separation of variables in the solution!
(Please see the attached file)
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Problem: Sales: The rate of increase in sales S (in thousands of units) of a product is proportional to the current level of sales and inversely proportional to the square of the time t. This is described by the ...
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