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The extreme values of f f(x, y) = x + 3y − 4xy on the unit square shown in (PICTURE) occur on the boundary or at a critical point off inside the square. Follow the next two steps to determine the maximum value of f on the square. (i) Determine the minimum value of f on the boundary of the square.

The extreme values of f f(x, y) = x + 3y − 4xy on the unit square shown in (PICTURE) occur on the boundary or

at a critical point off inside the square. Follow the next two steps to determine the maximum value of f on the square.

(i) Determine the minimum value of f on the boundary of the square.

 
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