Homework Help: Pre-Calculus

Posted by Erica on Thursday, October 19, 2006 at 12:21pm.

The logistic growth model p(t)=0.90/1+3.5e^-0.339t relates the proportion of new personal computers sold @ Best Buy that have Intel's latest coprecessor t months after it has been introduced.

a) what proportion of new personal computers sold @ Best Buy will have Intel's latest coprocessor when it is first introduced (that is, at t=0)
b) determine the max proportion of new personal computers sold @ Best Buy that will have Intel's latest coprocessor
c) when will 75% of the new personal computers sold at Best Buy have Intel's latest copressor.

You have
p(t)=0.90/(1+3.5e^-0.339*t)
For a) find p(0).
For b) find p'(t) and use what you've been taught about find max/min values. Set p'(t) to 0 and solve.
For c) solve .75=0.90/(1+3.5e^-0.339*t) It looks to be somewhere between 8 and 9 months when I graphed the function.

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