1. Give the dual of each of the following linear programs: (b) minimize subject to 3x₁ + 7x3 + 9x₁ −₁+3x₂-x3-10x4≤-12, 2x1 + 5x2 +8x3 + 9x₁ ≥ 1, x₁ + 4x2 + 8x32 -4, x1, x₂ > 0,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Give the dual of each of the following linear programs:
(b)
minimize 3x₁ +7x3 + 9x₁
subject to
-₁ + 3x₂ - 3
2x1 +52 +8x3 +974 ≥ 1,
10x₁ < -12,
x₁ + 4x₂ + 8x32 -4,
I1, I₂ ≥ 0,
X3 ≤ 0,
T4 unrestricted
Transcribed Image Text:1. Give the dual of each of the following linear programs: (b) minimize 3x₁ +7x3 + 9x₁ subject to -₁ + 3x₂ - 3 2x1 +52 +8x3 +974 ≥ 1, 10x₁ < -12, x₁ + 4x₂ + 8x32 -4, I1, I₂ ≥ 0, X3 ≤ 0, T4 unrestricted
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