3x + 2y = 100
a = xy = x(100-3x)/2 = (100x - 3x^2)/2
max area at x = 100/6
Note that the fencing is divided equally among widths and lengths for max area.
A farmer wants to construct a pen with 100 feet fencing. The pen will be divided into two areas. Find the dimensions of the big pen. You may use your calculator or the fact that the x-coordinate of the vertex of a parabola is x=-b/2a.
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