Which of the following is the standard form of the linear programming formulation shown below? minimize 2x1 + 7x2 + x3 3X₁ + X₂ X₁ 3X₁ X2, X3 X₂ + X₂ 20 minimize 2x₁ + 7X₂ + X₂ X₁ -3x₁ - X₂ X₁, X₂, X3 20 X₂ maximize -2X₁ 11 -X₁ + X₁' X₁ X₁" X₂ - X3 maximize -2X₁ - 7X₂ - X₂ X₁ 3X1 + X₂ X₂ 7X₂ -3X₁3X₁' X₁, X₁", X₂, Xa - X₂ ≤7 = 7 2 24 20 20 - X₂ = 7 2 24 X₂ X₂ - X3 3X₁ + X₂ х1, х2, х3 20 S-24 - X3 minimize 2x₁ + 7X₂ + X₂ + X₂ - X₂ 20 = 7 2 24 20 X₂ SO minimize 2x₁ + 7X₂ + X3 27 2 24 ≤ 7 S-7 S-24
Which of the following is the standard form of the linear programming formulation shown below? minimize 2x1 + 7x2 + x3 3X₁ + X₂ X₁ 3X₁ X2, X3 X₂ + X₂ 20 minimize 2x₁ + 7X₂ + X₂ X₁ -3x₁ - X₂ X₁, X₂, X3 20 X₂ maximize -2X₁ 11 -X₁ + X₁' X₁ X₁" X₂ - X3 maximize -2X₁ - 7X₂ - X₂ X₁ 3X1 + X₂ X₂ 7X₂ -3X₁3X₁' X₁, X₁", X₂, Xa - X₂ ≤7 = 7 2 24 20 20 - X₂ = 7 2 24 X₂ X₂ - X3 3X₁ + X₂ х1, х2, х3 20 S-24 - X3 minimize 2x₁ + 7X₂ + X₂ + X₂ - X₂ 20 = 7 2 24 20 X₂ SO minimize 2x₁ + 7X₂ + X3 27 2 24 ≤ 7 S-7 S-24
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:Which of the following is the standard form of the linear programming formulation shown below?
minimize 2x1 + 7x2 + x3
X₂
3X₁
+ X₂
X₂
X₁
3X₁ + X₂
X2, X3
X₂
minimize 2x₁ + 7X₂ + X3
maximize -2X₁
X₂
-3x₁ - X₂
X1, X2, X3 20
X₂
3X1
X3
X3
maximize -2X₁ 7X₂ X3
+ X₂
X₂
- X₂
11
-X₁' + X₁'
X₁
X₁
-3X₁ + 3x₁" - X₂
X₁', X₁"
X2, X3
7X2
= 7
2 24
20
20
- X3
= 7
2 24
- X3
X₂
3X1
+ X₂
X1, X2, X3 20
≤ 7
S-24
minimize 2x₁ + 7X₂ + X₂
X3
+ X₂ ≤ 7
X3
≤ -7
≤ -24
20
= 7
2 24
20
X₂ SO
minimize 2x₁ + 7X₂ + X3
27
2 24
Transcribed Image Text:maximize -2X₁ - 7X₂ X3
-X₁ + X₁"
X₁
X₁"
-3X₁ + 3X₁"
- X₂
X₁, X₁", X2, X3 20
+ X3
- X₂
≤ -7
s 7
≤ -24
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