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Solve the following problems by using the Simplex Method and verify the solution graphically. * 8.43 Minimize f= 9x1 + 2x2 + 3x3 subject to 2x₁ + x2-3x3 = -5 x12x2 + 2x3 = -2 X1, X2, X3 ≥ 0 8.46 Minimize f= x₁-x₂ subject to 4x₁ + 3x2 = 12 x₁ + 2x₂ ≤ 4 4 ≥ 2x1 + x₂ X1, X₂ ≥ 0 8.47 Maximize z = 2x1 + 3x2 subject to x₁ + x₂ ≤ 16 -X₁-2x₂=-28 24 ≥ 2x₁ + x₂ X1, X2 ≥ 0

Solve the following problems by using the Simplex Method and verify the solution graphically. * 8.43 Minimize f= 9x1 + 2x2 + 3x3 subject to 2x₁ + x2-3x3 = -5 x12x2 + 2x3 = -2 X1, X2, X3 ≥ 0 8.46 Minimize f= x₁-x₂ subject to 4x₁ + 3x2 = 12 x₁ + 2x₂ ≤ 4 4 ≥ 2x1 + x₂ X1, X₂ ≥ 0 8.47 Maximize z = 2x1 + 3x2 subject to x₁ + x₂ ≤ 16 -X₁-2x₂=-28 24 ≥ 2x₁ + x₂ X1, X2 ≥ 0

Advanced Engineering Mathematics
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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Solve the following problems by using the Simplex Method and verify the solution graphically. * 8.43 Minimize f=9x₁ + 2x2 + 3x3 subject to 2x₁ + x₂-3x3-5 X1-2x2 + 2x3 = -2 X1, X2, X3 ≥ 0 8.46 Minimize f= x₁-x₂ subject to 4x₁ + 3x₂ ≤ 12 x₁ + 2x₂ ≤ 4 4 ≥ 2x₁ + x₂ X1, X₂ ≥ 0 8.47 Maximize z = 2x1 + 3x₂ subject to x₁ + x₂ ≤ 16 -X₁-2x₂-28 24 ≥ 2x₁ + x2 X1, X2 ≥ 0
Transcribed Image Text:Solve the following problems by using the Simplex Method and verify the solution graphically. * 8.43 Minimize f=9x₁ + 2x2 + 3x3 subject to 2x₁ + x₂-3x3-5 X1-2x2 + 2x3 = -2 X1, X2, X3 ≥ 0 8.46 Minimize f= x₁-x₂ subject to 4x₁ + 3x₂ ≤ 12 x₁ + 2x₂ ≤ 4 4 ≥ 2x₁ + x₂ X1, X₂ ≥ 0 8.47 Maximize z = 2x1 + 3x₂ subject to x₁ + x₂ ≤ 16 -X₁-2x₂-28 24 ≥ 2x₁ + x2 X1, X2 ≥ 0
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