4-Consider the following problem:
max − 3x1 + 2x2 − x3 + x4
s.t.
2x1 − 3x2 −...
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4-Consider the following problem:
max − 3x1 + 2x2 − x3 + x4
s.t.
2x1 − 3x2 − x3 + x4 ≤ 0
− x1 + 2x2 + 2x3 − 3x4 ≤ 1
− x1 + x2 − 4x3 + x4 ≤ 8
x1, x2, x3, x4 ≥ 0
Use the Simplex method to verify that the optimal objectivevalue is unbounded. Make use of the final tableau to construct anunbounded direction..
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Solution Problem is Max Z 3 x1 2 x2 x3 x4 subject to 2 x1 3 x2 x3 x4 0 x1 2 x2 2 x3 3 x4 1 x1 x2 4 x3 x4 8 and x1x2x3x40 The problem is converted to canonical form by adding slack surplus and artificial variables as appropiate 1 As the constraint1 is of type we should add slack variable S1 2 As the constraint2 is of type we should add slack variable S2 3 As the constraint3
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