Formulate the dual of the following problem max Z= X₁ + 2x₂ + X3 + 2x + s.t. 2x₁ + 2x₂ 3x₁ + x₂ x₂ x₂ " x2 + 5x3+ + 2x3 Xz XA X4 ≤8 8 (1) + 4x₁ = 12 (2) ≥ 18 (3) 0 X₁ Z ≤0

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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Oppgave 3
Formulate the dual of the following problem
max
s.t.
Z=
x₁ + 2x₂ +
2x₁ +
2x₁
+
3x₁
X₁
+
"
X3
x₂ + 5x3
2x₂
x₂ + 2x3
x₂
انه
+
+
+
X4
X₁ ≤
4x4
X4
8 (1)
= 12 (2)
> 18 (3)
0
0
IA IV IV
Transcribed Image Text:Oppgave 3 Formulate the dual of the following problem max s.t. Z= x₁ + 2x₂ + 2x₁ + 2x₁ + 3x₁ X₁ + " X3 x₂ + 5x3 2x₂ x₂ + 2x3 x₂ انه + + + X4 X₁ ≤ 4x4 X4 8 (1) = 12 (2) > 18 (3) 0 0 IA IV IV
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