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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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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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