Consider the following LP problem: Maximize earnings = $0.80X1 + $0.40X2+ $1.20x3 - $0.10X4 subject to X1 + 2x2 + x3 +5X4 ≤ 150 X2-4X3+ 8X4 = 70 6X1 +7X2+2X3-X4 ≥ 120 X1, X2, X3, X4 ≥ 0 Q: The Pivot number is
Consider the following LP problem: Maximize earnings = $0.80X1 + $0.40X2+ $1.20x3 - $0.10X4 subject to X1 + 2x2 + x3 +5X4 ≤ 150 X2-4X3+ 8X4 = 70 6X1 +7X2+2X3-X4 ≥ 120 X1, X2, X3, X4 ≥ 0 Q: The Pivot number is
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:Consider the following LP problem:
**Maximize earnings** = $0.80X1 + $0.40X2 + $1.20X3 - $0.10X4
**Subject to:**
1. \( X1 + 2X2 + X3 + 5X4 \leq 150 \)
2. \( X2 - 4X3 + 8X4 = 70 \)
3. \( 6X1 + 7X2 + 2X3 - X4 \leq 120 \)
4. \( X1, X2, X3, X4 \geq 0 \)
**Q: The Pivot number is**
Note: Ensure variables are non-negative and constraints are taken into account for solving the linear programming problem.
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