Answer :

The feasible region determined by the constraints x + y 50, 3x + y 90, x, y 0. is given by

The corner points of feasible region are A(0,0) ,B(0,50) ,C(20,30), D(30,0) . The values of Z at the following points is

The maximum value of Z is 1800 at point A(30,0) .

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