Thread: Area Problem

If 300 feet of fence are used to enclose a rectangular pen, the resulting area of the pen is A=150x-x^2, where x is the width of the pen.

a.What should the width be in order to have the max area?

b.What is the maximum possible area?

Originally Posted by cdoubleokay

If 300 feet of fence are used to enclose a rectangular pen, the resulting area of the pen is A=150x-x^2, where x is the width of the pen.

a.What should the width be in order to have the max area?

b.What is the maximum possible area?

Hello,

to a.): You get the extreme value of A(x) if the first derivative of A equals zero.
Calculate A'(x).
Solve the equation A'(x) = 0 for x. (For confirmation only: x = 0 or x = 75)

to b.): Plug in the result from a.) into the given equation of the function. Determine which of the 2 values is the maximum (for confirmation only: )