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max 3x1 + 2x2 + 3x3 s.t. x1 + x2 + 2x3 = 2 3x1 + x2 + x3 = 6 x1 + 2x2 + 4x3 = 8 x1, x2, x30

max 3x1 + 2x2 + 3x3 s.t. x1 + x2 + 2x3 = 2 3x1 + x2 + x3 = 6 x1 + 2x2 + 4x3 = 8 x1, x2, x30

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following LPs using the simplex method (use both the Big-M Method and the Two-Phase Method to verify that they yield the same conclusion). Comment on whether the problem is feasible or not. - If the problem is feasible, then comment on whether the optimal objective function value is bounded or unbounded. - If the problem is feasible and the optimal objective function value is unbounded, then find a direction of unboundedness. - If the problem is feasible and the optimal objective function value is bounded, then comment on whether the optimal solution is unique or there are multiple optimal solutions.

 

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max 3x1 + 2x2 + 3x3 s.t. x₁ + x2 + 2x3 3x1 + x₂ + x3 = 6 x₁ + 2x₂ + 4x3 x1, x2, x3 ≥ 0 = 2 = 8
Transcribed Image Text:max 3x1 + 2x2 + 3x3 s.t. x₁ + x2 + 2x3 3x1 + x₂ + x3 = 6 x₁ + 2x₂ + 4x3 x1, x2, x3 ≥ 0 = 2 = 8
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