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2. For each of the following questions, justify your answer using complementary slack- ness and if the given solution is optimal, give an optimal solution to the dual as well. (b) Determine whether x¹ = (0, 2, 3) is an optimal solution to the following linear program. maximize subject to ₁ + x₂ + x3 2x₁ + 7x₂ + x3 ≤8₂ ₁+ 3x₂ + 3x3 ≤7, 2x1 + 4x3 ≤ 6, ₁+ 3x₂ + x3 ≤ 9, I1, I2, I3 20

2. For each of the following questions, justify your answer using complementary slack- ness and if the given solution is optimal, give an optimal solution to the dual as well. (b) Determine whether x¹ = (0, 2, 3) is an optimal solution to the following linear program. maximize subject to ₁ + x₂ + x3 2x₁ + 7x₂ + x3 ≤8₂ ₁+ 3x₂ + 3x3 ≤7, 2x1 + 4x3 ≤ 6, ₁+ 3x₂ + x3 ≤ 9, I1, I2, I3 20

Advanced Engineering Mathematics
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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2. For each of the following questions, justify your answer using complementary slack- ness and if the given solution is optimal, give an optimal solution to the dual as well. (b) Determine whether x¹ = (0,,) is an optimal solution to the following linear program. maximize subject to ₁ + x₂ + x3 2x1 + 7x₂ + x3 ≤ 8, x₁ + 3x2 + 3x3 ≤7, 2x1 + 4x3 ≤ 6, x₁ + 3x2 + x3 ≤9, I1, I2, I3 20
Transcribed Image Text:2. For each of the following questions, justify your answer using complementary slack- ness and if the given solution is optimal, give an optimal solution to the dual as well. (b) Determine whether x¹ = (0,,) is an optimal solution to the following linear program. maximize subject to ₁ + x₂ + x3 2x1 + 7x₂ + x3 ≤ 8, x₁ + 3x2 + 3x3 ≤7, 2x1 + 4x3 ≤ 6, x₁ + 3x2 + x3 ≤9, I1, I2, I3 20
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