Write the dual for each of the following primal problems:
(a) Maximize z = - 5x1 + 2x2
Subject to
- x1 + x2 ≤ - 2
2x1 + 3x2 ≤ 5
X1, x2 ≥ 0
(b) Minimize z = 6x1 + 3x2
Subject to
6x1 - 3x2 + x3 ≥ 2
3x1 + 4x2 + x3 ≥ 5
X1, x2, x3 ≥ 0
(c) Maximize z = x1 + x2
Subject to
2x1 + x2 = 5
3x1 - x2 = 6
X1, x2 unrestricted