Solve the following LP problems: 1. Maximize z = 1x₁ + 2x₂ + 3x3 Subject to: 1x₁ - 2x₂ + 3x3 ≤ 10 x₁ + 2x₂ ≤ 5 x₁ ≤ 1 X₁, X₂, X₂ ≥ 0 Requirements: Using the LP simplex method, identify three alternative optimal basic solutions of this problem.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Solve the following LP problems:
1. Maximize z = 1x₁ + 2x₂ + 3x3
Subject to: 1x₁-2x₂ + 3x3 ≤ 10
x₁ + 2x₂ ≤ 5
x₁ ≤ 1
X₁, X₂, X3 ≥ 0
Requirements: Using the LP simplex method,
identify three alternative optimal basic
solutions of this problem.
Transcribed Image Text:Solve the following LP problems: 1. Maximize z = 1x₁ + 2x₂ + 3x3 Subject to: 1x₁-2x₂ + 3x3 ≤ 10 x₁ + 2x₂ ≤ 5 x₁ ≤ 1 X₁, X₂, X3 ≥ 0 Requirements: Using the LP simplex method, identify three alternative optimal basic solutions of this problem.
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