Chapter P, Problem 5PS

(a)

To determine

The area A of the pasture as a function of x and the domain of A, when rancher has $100\text{ meters}$ of fencing for a rectangular pasture adjacent to a river.

(b)

To determine

To Graph: The area function $A\left(x\right)=-\frac{x^2}{2}+50x$ and estimate the dimensions that yields maximum area of pasture.

(c)

To determine

To calculate: The dimensions that gives the maximum amount of area for the area function $A\left(x\right)=-\frac{x^2}{2}+50x$.