minimize z = 20x +9y subject to 2x+y>= 36; 6x +y >=60, x,y>=0
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Minimize Z = −3x + 4y
subject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0
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The feasible region determined by the system of constraints x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0
is as follows:

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