You Have Just Introduced a New Computer to the Market $s = 99,000 e ^ { 0.17 t }$

question 60

Multiple Choice

You have just introduced a new computer to the market. You predict that you will eventually sell 99,000 computers and that your monthly rate of sales will be 17% of the difference between the saturation value and the total number you have sold up to that point. Solve the differential equation for your total sales s (as a function of the month) . Hint: What are your total sales at the moment when you first introduce the computer

• A) \(s = 99,000 e ^ { 0.17 t }\)
• B) \(s = 99,000 \left( 1 - e ^ { - 0.17 t } \right)\)
• C) \(s = 99,000 + 0.17 t\)
• D) \(s = 99,000 \left( 1 - e ^ { - 1.7 t } \right)\)
• E) \(s = 99,000 + t ^ { 0.17 }\)

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