Determine whether the problem has multiple solutions, unbounded solutions, or no feasible solutions. Maximize z = 14x₁ + 17x₂ + 7x3, subject to 2x₁ + 3x₂9x3 ≤ 72 2x₁ + 5x₂ - 10x3 ≥ 100 0, X3 ≥ 0 X₁ ≥ 0, X₂ ≥ The problem has multiple solutions. The problem has unbounded solutions. The problem has no feasible solutions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine whether the problem has multiple solutions, unbounded solutions, or no feasible solutions.
Maximize z = 14x₁ + 17x₂ + 7x3, subject to
2x₁ + 3x₂ - 9x3 ≤ 72
2x₁ + 5x₂
10x3 ≥ 100
X₁ ≥ 0, X₂ ≥
0, X3 ≥ 0
The problem has multiple solutions.
The problem has unbounded solutions.
The problem has no feasible solutions.
Transcribed Image Text:Determine whether the problem has multiple solutions, unbounded solutions, or no feasible solutions. Maximize z = 14x₁ + 17x₂ + 7x3, subject to 2x₁ + 3x₂ - 9x3 ≤ 72 2x₁ + 5x₂ 10x3 ≥ 100 X₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0 The problem has multiple solutions. The problem has unbounded solutions. The problem has no feasible solutions.
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