2.13 Use the simplex method to solve the following linear program (1) 3x₁ + 2x₂ + x3 x4, x₁2x2 + 3x3 x4 ≤ 15, 2x₁ + x₂x3 + 2x4≤ 10, X1, X4 ≥ 0; (2) min s. t. min s. t. - -3x1 - 2x₂, x₁ - 3x₂ ≤ 6, 2x₁ + 4x₂ ≥ 8, x₁3x₂-6, X1, X₂ ≥ 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2.13 Use the simplex method to solve the following linear program
(1)
3x₁ + 2x₂ + x3 x4,
x₁2x2 + 3x3 x4 ≤ 15,
2x₁ + x₂x3 + 2x4≤ 10,
X1, X4 ≥ 0;
(2)
min
s. t.
min
s. t.
-3x1 - 2x₂,
x₁ - 3x₂ ≤ 6,
2x₁ + 4x₂ ≥ 8,
x₁3x₂-6,
X1, X₂ ≥ 0.
Transcribed Image Text:2.13 Use the simplex method to solve the following linear program (1) 3x₁ + 2x₂ + x3 x4, x₁2x2 + 3x3 x4 ≤ 15, 2x₁ + x₂x3 + 2x4≤ 10, X1, X4 ≥ 0; (2) min s. t. min s. t. -3x1 - 2x₂, x₁ - 3x₂ ≤ 6, 2x₁ + 4x₂ ≥ 8, x₁3x₂-6, X1, X₂ ≥ 0.
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