Solve by simplex method
Subject to
3x_{1} + 5x_{2 }≤ 15
5x_{1} + 2x_{2 }≤ 10
& x_{1 }≥ 0, x_{2 }≥ 0
[Ans. Max Z = 235/19, x_{1}= 20/19, x_{2}= 45/19]
x_{1} + x_{2 }≤ 4
3x_{1} - 8x_{2 }≤ 24
10x_{1} + 7x_{2 }≤ 35
[Ans. Max Z = 28, x_{1}= 0, x_{2}= 4]
x_{1} + 3x_{2 }+ x_{4 }≤ 4
2x_{1} + x_{2} ≤ 3
x_{2 }+ 4x_{3 }+ x_{4 }≤ 3
& x_{1 }≥ 0, x_{2 }≥ 0, x_{3 }≥ 0, x_{4 }≥ 0
[Ans. Max Z = 13/2, x_{1}= 1, x_{2}= 1, x_{3}= 1/2, x_{4}= 0]
-x_{1} - 2x_{2 }≥_{ }-6
4x_{1} + 3x_{2 }≤ 12
[Ans. Max Z = 21, x_{1}= 3, x_{2}= 0]
2x_{1} + x_{2 }≤ 10
x_{1} + 3x_{2 }≤ 6
x_{1} + x_{2 }≤ 21