Math  /  Calculus

QuestionQuestion
Logistic Curve The sales of a new stereo system over a period of time are expected to follow the logistic curve f(x)=70001+25exf(x)=\frac{7000}{1+25 e^{-x}} where xx is measured in years. Determine the year in which the sales rate is a maximum. Truncate the answer to the integer.

Studdy Solution
Calculate ln(25) \ln(25) and truncate to the nearest integer:
ln(25)3.2189 \ln(25) \approx 3.2189
Truncate to the integer:
3 \boxed{3}
The year in which the sales rate is a maximum is the 3 \boxed{3} rd year.

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