Math
posted by Gary .
A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write the function that will produce the largest area if x is the short side of the rectangle.

2x+y = 2400
so, y = 24002x
a = xy = x(24002x) = 2400x2x^2
That is just a parabola, with vertex at x=600
So, the field is 600 x 1200
As usual, these problems achieve maximum area when the perimeter is divided equally among lengths and widths.
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