SIMPLEX METHOD Determine the values of the variables using Simplex Method Obj Function: Subject to: Max Z = 4X₁ + 10X2-9X3 5X₁-18X2 +5X3≤ 15 -8X₁ + 12X2-8X3≤8 12X₁-4X2 + 8X3 ≤ 10 -2X₁ +5X32 -5 X1, X2, X3 20

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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SIMPLEX METHOD
Determine the values of the variables using Simplex Method
Obj Function:
Subject to:
Max Z = 4X₁ + 10X2-9X3
5X₁ - 18X2 + 5X3 ≤ 15
- 8X₁ + 12X₂-8X3 ≤8
12X₁ - 4X2 +8X3 ≤ 10
- 2X₁ +5X32-5
X1, X2, X3 ≥0
Transcribed Image Text:SIMPLEX METHOD Determine the values of the variables using Simplex Method Obj Function: Subject to: Max Z = 4X₁ + 10X2-9X3 5X₁ - 18X2 + 5X3 ≤ 15 - 8X₁ + 12X₂-8X3 ≤8 12X₁ - 4X2 +8X3 ≤ 10 - 2X₁ +5X32-5 X1, X2, X3 ≥0
GRAPHICAL METHOD
Determine the values of the variables using Graphical Method (Isoprofit Line/Isocost Line)
Maximize Z = 4.15X₁ +3.6X₂
Subject to: X₁ + X₂ ≤ 115
0.93X1+0.75X2<90
X₁ ≥ 2
X₂ 1
X₁, X₂≥0
Transcribed Image Text:GRAPHICAL METHOD Determine the values of the variables using Graphical Method (Isoprofit Line/Isocost Line) Maximize Z = 4.15X₁ +3.6X₂ Subject to: X₁ + X₂ ≤ 115 0.93X1+0.75X2<90 X₁ ≥ 2 X₂ 1 X₁, X₂≥0
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