Asked by lori

A farmer has 460 feet of fencing with which to enclose a rectangular grazing pen next to a barn. The farmer will use the barn as one side of the pen, and will use the fencing for the other three sides. find the dimension of the pen with the maximum area?
Answered by Damon
L + 2 W = 460
so
L = (460 - 2 W)

L * W = A
A = (460-2W)W = 460 W - 2 W^2
DA/DW = 460 - 4 W
ZERO FOR MAX OR MIN
4 W = 460
W = 115

L = 460 - 2*115 = 230

Answered by mkjkm
631
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