Estimate a range for the optimal objective value for the following LPs: (a) Minimize z = 5x1
Question:
Estimate a range for the optimal objective value for the following LPs:
(a) Minimize z = 5x1 + 2x2
Subject to
X1  x2 ≥ 3
2x1 + 3x2 ≥ 5
X1, x2 ≥ 0
(b) Maximize z = x1 + 5x2 + 3x3
Subject to
X1 + 2x2 + x3 = 3
2x1  x2 = 4
X1, x2, x3 ≥ 0
(c) Maximize z 2x1 + x2
Subject to
X1  x2 ≤ 10
2x1 ≤ 40
X1, x2 ≥ 0
(d) Maximize z = 3x1 + 2x2
Subject to
2x1 + x2 ≤ 3
3x1 + 4x2 ≤ 12
X1, x2 ≥ 0
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