Consider the following LP problem: minimize z = -X₁ + X₂-2x3, subject to X₁ + X₂ + X3 ≤6, -X₁ + 2x₂ + 3x3 ≤9, X1, X2, X3 ≥0. (a) Solve the problem by the Simplex method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following LP problem:
minimize z= −X₁+ X2−2x3,
subject to
X₁ + X₂ + X3 ≤6,
- X₁ + 2x₂ + 3x3 ≤9,
X1, X2, X3 ≥0.
(a) Solve the problem by the Simplex method.
(b) Suppose that the vector c= (-1 1-2) is replaced by (-1 1 −2)+^(2 −1 1), where is
a real number. Find optimal solution for all values of 2.
Transcribed Image Text:Consider the following LP problem: minimize z= −X₁+ X2−2x3, subject to X₁ + X₂ + X3 ≤6, - X₁ + 2x₂ + 3x3 ≤9, X1, X2, X3 ≥0. (a) Solve the problem by the Simplex method. (b) Suppose that the vector c= (-1 1-2) is replaced by (-1 1 −2)+^(2 −1 1), where is a real number. Find optimal solution for all values of 2.
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