Maximizing a function.
Story problems always confuse me. Can someone point me in the right direction? Thanks!
There are 544 yards of fencing available to enclose a rectangular field. How should this fencing be used so that the enclosed area is as large as possible? The area is maximized at length = ____ yards and width = ____ yards.
First create an equation for the area in terms of width and height.
Find an equation of perimeter (2x width + 2x height).
Isolate for one variable...it should be a parabola. Then if you are in calculus take the derivative and solve for 0. If not find the midpoint with -b/2a.
OK here is what you do
Okay, I took the derivative and get x=136. Making it a square (136*4=544). So It was simple as that Length and width both are 136? EDIT: Ahh Mathstud you're too quick. Thanks a lot!
Anytime thats what I come on for
Originally Posted by zsig013