Consider the following linear optimization model: (P) min 2x₁ + 4x2 + 10x3 +15x4 s.t. -x1 + x2 + x3 + 3x4 ≥ 1 x1 - x2 + 2x3 + x4 ≥ 1 X1, X2, X3, X4 ≥ 0.

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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Consider the following linear optimization model:
(P)
min 2x₁ + 4x2 + 10x3 + 15x4
s.t. -x1 + x₂ + x3 + 3x4 ≥ 1
X1 - x2 + 2x3 + x4 ≥ 1
X1, X2, x3, x4 ≥ 0.
Transcribed Image Text:Consider the following linear optimization model: (P) min 2x₁ + 4x2 + 10x3 + 15x4 s.t. -x1 + x₂ + x3 + 3x4 ≥ 1 X1 - x2 + 2x3 + x4 ≥ 1 X1, X2, x3, x4 ≥ 0.
Write the simplex dictionary of (P) associated with the optimal basis you identified in Part 2.
Starting from the simplex dictionary in Part 3, find an optimal solution to (P) using simplex. Use
the same pivoting rules and present your work in the same format as in Part 2.
Transcribed Image Text:Write the simplex dictionary of (P) associated with the optimal basis you identified in Part 2. Starting from the simplex dictionary in Part 3, find an optimal solution to (P) using simplex. Use the same pivoting rules and present your work in the same format as in Part 2.
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