Please follow these steps to do sensitivity analysis for the LP: max z = x₁ + x₂ s. t. X₁ + x₂ + x3 ≤ 1 X₁ + 2x3 ≤ 1 X1, X2, X3 20 s optimal solution is x₁ = 0, x₂ = 1, X3 = 0, S₁ = 0, $₂ = 1 and z = 1. The basis for this ptimal solution is BV = {x2, S₂}, NBV = {x₁, x3, S₁}, where S₁, S₂ are slack variables for st and second constraint, respectively.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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According to what is given
What are the shadow prices for the first two constraints of the original LP problem? Base on that if ?1 = 60, what are the optimal solution for decision variables and optimal objective value?

Use the B^-1 form to answer

Please follow these steps to do sensitivity analysis for the LP:
max z = x₁ +x₂
s.t. x₁ + x₂ + x3 ≤ 1
x₁ + 2x3 ≤ 1
X1, X2, X3 20
s optimal solution is x₁ = 0, x₂ = 1, x3 = 0, S₁ = 0, $₂ = 1 and z = 1. The basis for this
otimal solution is BV = {x2, S₂}, NBV = {x₁, X3, S₁}, where S₁, S₂ are slack variables for
st and second constraint, respectively.
Transcribed Image Text:Please follow these steps to do sensitivity analysis for the LP: max z = x₁ +x₂ s.t. x₁ + x₂ + x3 ≤ 1 x₁ + 2x3 ≤ 1 X1, X2, X3 20 s optimal solution is x₁ = 0, x₂ = 1, x3 = 0, S₁ = 0, $₂ = 1 and z = 1. The basis for this otimal solution is BV = {x2, S₂}, NBV = {x₁, X3, S₁}, where S₁, S₂ are slack variables for st and second constraint, respectively.
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