In the following linear programming problem, there is a tie for the choice of the first pivot column. Use the simplex method to solve the problem two different ways: first by choosing column 1 as the first pivot column, and then by choosing column 2 as the first pivot column. Discuss the relationship between these two solutions. Maximize Subject to P=X₁ + X₂ 4x₁ + x2 ≤ 22 X₁5 X2 ≤ 17 X1, X220 CLO Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Both methods give the same optimal solution of P = (Simplify your answers.) when x₁ = and X2= These solutions represent the same vertex.
In the following linear programming problem, there is a tie for the choice of the first pivot column. Use the simplex method to solve the problem two different ways: first by choosing column 1 as the first pivot column, and then by choosing column 2 as the first pivot column. Discuss the relationship between these two solutions. Maximize Subject to P=X₁ + X₂ 4x₁ + x2 ≤ 22 X₁5 X2 ≤ 17 X1, X220 CLO Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Both methods give the same optimal solution of P = (Simplify your answers.) when x₁ = and X2= These solutions represent the same vertex.
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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
Transcribed Image Text:In the following linear programming problem, there is a tie for the choice of the first pivot column. Use the simplex method to solve the problem two different ways: first
by choosing column 1 as the first pivot column, and then by choosing column 2 as the first pivot column. Discuss the relationship between these two solutions.
Maximize
Subject to
P=X₁ + X2
4x1 + x2 ≤ 22
X₁ ≤ 5
X2 ≤ 17
X1, X2 ≥ 0
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. Both methods give the same optimal solution of P =
(Simplify your answers.)
when =
X₁ = and X2=
These solutions represent the same vertex.
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