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MAX Z = x - 2y
subject to
2x + 3y = 7
x - 4y <= 2
and x,y >= 0
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MAX Z = 3x1 + 2x2
subject to
3x1 + x2 >= 3
4x1 + 3x2 >= 6
x1 + x2 <= 3
and x1,x2 >= 0
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MIN Z = 2x1 + 5x2 + 3x3
subject to
1x1 + 2x2 + 3x3 >= 4
x1 + x3 >= 1
x1 + x2 = 1
and x1,x2,x3 >= 0