Question: Find the maximum of f(x,y) = x + y - x - y - xy

Find the maximum off(x,y) = x + y - x - y - xy

on the square, 0  x  2,0  y  2 (Figure 23). (a) First, locate the critical point of f in the square, and

f(x,y) = x + y - x - y - xy

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a Since fxx y 12x y fyx y 12y x setting both equal to zero gives y 12x and 2y 1 x so that 21 2x 1 x ... View full answer

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