Maximize = 60x + 15y, subject to the constraints
x + y ≤ 50, 3x + ≤ y90, x, y ≥ 0.
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) .