Solved: Forestry The value of a tract of timber is where is the time in years, with

Chapter 6, Problem 62

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The value of a tract of timber is

\(V(t)=100,000 e^{0.8 \sqrt{t}}\)

where t is the time in years, with t = 0 corresponding to 2010 . If money earns interest continuously at 10%, then the present value of the timber at any time t is

\(A(t)=V(t) e^{-0.10 t}\)

Find the year in which the timber should be harvested to maximize the present value function.

Text Transcription:

V(t)=100,000 e^0.8 sqrt t

A(t)=V(t) e^-0.10 t

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