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Consider the following polyhedron P = {x € R³ : 2.x1–x2+x3 < -1, -x1+2x2 < 2, x1+x3 > -1, –2x1+x2+x3 = 0, x2+x3 > -1}. Decide, for each of the points ât given below, whether â& is infeasible and not a basic solution, feasible but not a basic feasible solution, a basic solution but infeasible, or a basic feasible solution.

Consider the following polyhedron P = {x € R³ : 2.x1–x2+x3 < -1, -x1+2x2 < 2, x1+x3 > -1, –2x1+x2+x3 = 0, x2+x3 > -1}. Decide, for each of the points ât given below, whether â& is infeasible and not a basic solution, feasible but not a basic feasible solution, a basic solution but infeasible, or a basic feasible solution.

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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(2.1) â = [0, 1, –1]T. (2.2) = [-1/3,0, –2/3]". (2.3) â = [-1/2,3/4, –7/4]". (2.4) ât = [-1, –1, 0]". | (2.5) = [-1/2, –1/2, –1/2]".
Transcribed Image Text:(2.1) â = [0, 1, –1]T. (2.2) = [-1/3,0, –2/3]". (2.3) â = [-1/2,3/4, –7/4]". (2.4) ât = [-1, –1, 0]". | (2.5) = [-1/2, –1/2, –1/2]".
Consider the following polyhedron P = {x E R³ : 2x1–x2+x3 < -1, –x1+2x2 < 2, x1+x3 > -1, –2x1+x2+x3= 0, x2+x3 > -1}. Decide, for each of the points âî given below, whether t is infeasible and not a basic solution, feasible but not a basic feasible solution, a basic solution but infeasible, or a basic feasible solution.
Transcribed Image Text:Consider the following polyhedron P = {x E R³ : 2x1–x2+x3 < -1, –x1+2x2 < 2, x1+x3 > -1, –2x1+x2+x3= 0, x2+x3 > -1}. Decide, for each of the points âî given below, whether t is infeasible and not a basic solution, feasible but not a basic feasible solution, a basic solution but infeasible, or a basic feasible solution.
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