Solve this LP problem: 1. Maximize z = 20x₁ + 10x₂ + x3 Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50 x₁ + x₂ ≤ 10 X₁-x₂ + 4x₂ ≤ 20 X₁, X₂, X3 ²0 Requirements: a) By inspecting the constraints, determine the direction (x₁, x₂, or x²) in which the solution space is unbounded. Support your answer. b) Verify using simplex calculation.
Solve this LP problem: 1. Maximize z = 20x₁ + 10x₂ + x3 Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50 x₁ + x₂ ≤ 10 X₁-x₂ + 4x₂ ≤ 20 X₁, X₂, X3 ²0 Requirements: a) By inspecting the constraints, determine the direction (x₁, x₂, or x²) in which the solution space is unbounded. Support your answer. b) Verify using simplex calculation.
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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
Transcribed Image Text:Solve this LP problem:
1. Maximize z = 20x₁ + 10x₂ + x3
Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50
x₁ + x₂ ≤ 10
x₁-x₂ + 4x₂ ≤ 20
X₁, X₂, X₂ ≥ 0
Requirements:
a)
By inspecting the constraints, determine the direction (x₁, x₂, or x²) in which
the solution space is unbounded. Support your answer.
b) Verify using simplex calculation.
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