Question

A polynomial function that describes an
enclosure is
V(x) = 1500x-x^2
, where
X
is the length of the fence in feet. What is the maximum area of the enclosure? <<<

Answer 1

The maximum area of the enclosure is 562500 square feet

How to determine the maximum area?

The function is give as:

V(x) = 1500x - x^2

Differentiate

V'(x) = 1500 -2x

Set to 0

2x = 1500

Divide by 2

x = 750

Substitute x = 750 in V(x) = 1500x - x^2

V(x) = 1500*750 - 750^2

Evaluate

V(x) = 562500

Hence, the maximum area of the enclosure is 562500 square feet

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