Fund F accumulates at a rate of δFt = 1/1 + t . Fund G accumulates at the rate of δGt = 4t/1 + 2t^2 . LetF (t) and G(t) denote the amount in fund F and the amount in fund G respectively at time t withF (0) = G(0). Define a new function H(t) by H(t) = F (t) − G(t). Use Calculus to find the time twhen the function H(t) is a maximum.

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
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Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 22P: Consider a Poisson distribution with . Write the appropriate Poisson probability mass...
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Fund F accumulates at a rate of δF
t = 1/1 + t . Fund G accumulates at the rate of δG
t = 4t/1 + 2t^2 . Let
F (t) and G(t) denote the amount in fund F and the amount in fund G respectively at time t with
F (0) = G(0). Define a new function H(t) by H(t) = F (t) − G(t). Use Calculus to find the time t
when the function H(t) is a maximum.

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