The value v (in dollars) of a fir tree used for lumber in a plantation changes with the age of the tree according to the formula, v(t)=50t/1+.1t, where t is the age of the tree in years. Find the age of a tree that that would be most valuable to be cut if the farmer harvested the trees that are a minimum of 2 years old and a maximum of 8 years old.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The value v (in dollars) of a fir tree used for lumber in a plantation changes with the age of the tree according to the formula, v(t)=50t/1+.1t, where t is the age of the tree in years. Find the age of a tree that that would be most valuable to be cut if the farmer harvested the trees that are a minimum of 2 years old and a maximum of 8 years old. 

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