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14. Use Dual simplex to solve the following LPP. Max. Z = X₁ + 2X₂ + 3X3 Subject to X₁-X₂ + X3 ≥ 4 X₁ + X₂ + 2X3 ≤8 where X₁-3X3 ≥ 2 X1, X2, X3 ≥ 0

14. Use Dual simplex to solve the following LPP. Max. Z = X₁ + 2X₂ + 3X3 Subject to X₁-X₂ + X3 ≥ 4 X₁ + X₂ + 2X3 ≤8 where X₁-3X3 ≥ 2 X1, X2, X3 ≥ 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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LPP-DUAL SIMPLEX METHOD-V 14. Use Dual simplex to solve the following LPP. Max. Subject to Z = X₁ + 2X₂ + 3X3 X₁-X₂ + X3 ≥ 4 X₁ + X₂ + 2X3 ≤8 X₁-3X3 ≥ 2 where X₁, X₂, X3 ≥ 0 15. Use Dual Simplex to solve the following LPP. Min. Z = 48X₁ + 40X2 Subject to 3X₁ + 2X₂ ≥ 7 X₁ + X₂ ≥ 5 where X₁, X₂ ≥ 0 16. Use Dual Simplex to solve the following LPP. Min. Z=36X₁ + 60X2 + 45X3 Subject to X₁+ 2X₂ + 2X3 ≥ 40 2X₁ + X₂ + 5X3 ≥ 25 X₁ + 4X2 + X3 ≥ 50 X₁, X₂, X3 ≥ 0 where 8.23 (Ans. Dual Simplex Method fails) (Ans. X₁ = 0, X₂=5, Min. Z = 200) (Ans. X₁ = 0, X₂ = 10, X3= 10, Min. Z-1050)
Transcribed Image Text:LPP-DUAL SIMPLEX METHOD-V 14. Use Dual simplex to solve the following LPP. Max. Subject to Z = X₁ + 2X₂ + 3X3 X₁-X₂ + X3 ≥ 4 X₁ + X₂ + 2X3 ≤8 X₁-3X3 ≥ 2 where X₁, X₂, X3 ≥ 0 15. Use Dual Simplex to solve the following LPP. Min. Z = 48X₁ + 40X2 Subject to 3X₁ + 2X₂ ≥ 7 X₁ + X₂ ≥ 5 where X₁, X₂ ≥ 0 16. Use Dual Simplex to solve the following LPP. Min. Z=36X₁ + 60X2 + 45X3 Subject to X₁+ 2X₂ + 2X3 ≥ 40 2X₁ + X₂ + 5X3 ≥ 25 X₁ + 4X2 + X3 ≥ 50 X₁, X₂, X3 ≥ 0 where 8.23 (Ans. Dual Simplex Method fails) (Ans. X₁ = 0, X₂=5, Min. Z = 200) (Ans. X₁ = 0, X₂ = 10, X3= 10, Min. Z-1050)
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