State the dual problem for the linear programming problem. Minimize w = 4y₁ +6y₂ + 5y3 +Y4 subject to: V₁ V2+ Y3+ Y4 ≥ 160 2y₁ +5y2 + 3y3 + 5y4 ≥285 Y₁ 20, ₂20, y3 20, y4 20 with What is the dual problem? subject to: with Z= X₁20, X₂ 20 4 6 ▼5 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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State the dual problem for the linear programming problem.
Minimize
w = 4y₁ + 6y₂ + 5y3 +Y4
subject to:
V₁ V2 V3+ Y4 ≥ 160
2y₁ +5y2 + 3y3 + 5y4 ≥285
y₁ ≥ 0, y₂ ≥ 0, y3 ≥ 0, y4 20
with
What is the dual problem?
subject to:
Z=
4
6
5
1
with
X₁20, X₂ 20
(Simplify your answers. Do not factor.)
Transcribed Image Text:State the dual problem for the linear programming problem. Minimize w = 4y₁ + 6y₂ + 5y3 +Y4 subject to: V₁ V2 V3+ Y4 ≥ 160 2y₁ +5y2 + 3y3 + 5y4 ≥285 y₁ ≥ 0, y₂ ≥ 0, y3 ≥ 0, y4 20 with What is the dual problem? subject to: Z= 4 6 5 1 with X₁20, X₂ 20 (Simplify your answers. Do not factor.)
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