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Consider the following linear optimization model: (P) max s.t. x1 + 2x₂ -x1+x₂ ≤ 6 x1 − 2x₂ ≤ 4 - X1, X2 > 0.

Consider the following linear optimization model: (P) max s.t. x1 + 2x₂ -x1+x₂ ≤ 6 x1 − 2x₂ ≤ 4 - X1, X2 > 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
Problem 3PT
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show the mechanical steps not the table method please

Consider the following linear optimization model: (P) max s.t. x1 + 2x₂ -x1 + x₂ ≤ 6 x12x₂ < 4 X1, X2 ≥ 0.
Transcribed Image Text:Consider the following linear optimization model: (P) max s.t. x1 + 2x₂ -x1 + x₂ ≤ 6 x12x₂ < 4 X1, X2 ≥ 0.
Use the simplex algorithm (starting from the basis composed of slack variables) to show that (P) is unbounded. When multiple variables are eligible to enter the basis, select the eligible variable with highest reduced cost. If multiple variables are eligible to leave the basis, select the eligible variable whose index is smallest. (When providing an answer to this problem, report (at least) the simplex dictionary obtained at each iteration, and state what variables are entering/leaving the basis.)
Transcribed Image Text:Use the simplex algorithm (starting from the basis composed of slack variables) to show that (P) is unbounded. When multiple variables are eligible to enter the basis, select the eligible variable with highest reduced cost. If multiple variables are eligible to leave the basis, select the eligible variable whose index is smallest. (When providing an answer to this problem, report (at least) the simplex dictionary obtained at each iteration, and state what variables are entering/leaving the basis.)
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