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Consider the LP 2x1 + x2x3 x1 + 2x2 + x3 -x1 + x₂ - 2x3 X1, X2, X3 Suppose the following optimal tableau is obtained for the above LP: Maximize subject to $1 X2 x3 1 2 1 1 -2 where s₁ and s2 are the slack variables. 3 -1 -3 -3 1 -8 = -x1 -12 ≤8 4 ≥0 = -82 16 = 1 Suppose the right hand side of the first constraint is changed from 8 to 8 + h₁ and the right hand side of the second constraint is changed from 4 to 4+h₂. Then the adjusted final tableau remains optimal if

Consider the LP 2x1 + x2x3 x1 + 2x2 + x3 -x1 + x₂ - 2x3 X1, X2, X3 Suppose the following optimal tableau is obtained for the above LP: Maximize subject to $1 X2 x3 1 2 1 1 -2 where s₁ and s2 are the slack variables. 3 -1 -3 -3 1 -8 = -x1 -12 ≤8 4 ≥0 = -82 16 = 1 Suppose the right hand side of the first constraint is changed from 8 to 8 + h₁ and the right hand side of the second constraint is changed from 4 to 4+h₂. Then the adjusted final tableau remains optimal if

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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Consider the LP 2x1 + x2 X3 x₁ + 2x2 + x3 -x1 + x₂ - 2x3 X1, X2, X3 Suppose the following optimal tableau is obtained for the above LP: Maximize subject to $1 1 1 -2 where s₁ and s2 are the slack variables. X2 X3 1 2 1 -8 3 -1 -12 -3 -3 16 ≤8 ≤4 ≥0 = -x1 = -82 =U Suppose the right hand side of the first constraint is changed from 8 to 8+ h₁ and the right hand side of the second constraint is changed from 4 to 4+h₂. Then the adjusted final tableau remains optimal if
Transcribed Image Text:Consider the LP 2x1 + x2 X3 x₁ + 2x2 + x3 -x1 + x₂ - 2x3 X1, X2, X3 Suppose the following optimal tableau is obtained for the above LP: Maximize subject to $1 1 1 -2 where s₁ and s2 are the slack variables. X2 X3 1 2 1 -8 3 -1 -12 -3 -3 16 ≤8 ≤4 ≥0 = -x1 = -82 =U Suppose the right hand side of the first constraint is changed from 8 to 8+ h₁ and the right hand side of the second constraint is changed from 4 to 4+h₂. Then the adjusted final tableau remains optimal if
h₁8, h₁h₂ ≥ −12. Oh₁ ≥ 8, h₁ + h₂ ≥ 12. O None of the other four. Oh₁> -8, h₁ + h₂ ≥ −12. Ohi-8, h1 - h₂ ≥ 12.
Transcribed Image Text:h₁8, h₁h₂ ≥ −12. Oh₁ ≥ 8, h₁ + h₂ ≥ 12. O None of the other four. Oh₁> -8, h₁ + h₂ ≥ −12. Ohi-8, h1 - h₂ ≥ 12.
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