The following LPP
Maximize z = 100x1 + 2x2 + 5x3
Subject to
14x1 + x2 − 6x3 + 3x4 = 7
32x1 + x2 − 12x3 ≤ 10
3x1 − x2 − x3 ≤ 0
x1, x2, x3, x4 ≥ 0
has
1
Solution: x1 = 100, x2 = 0, x3 = 0
2
Unbounded solution
3
No solution
4
Solution: x1 = 50, x2 = 70, x3 = 60