Consider the constraints of a canonical problem given by 0 1 2 2 2 4 0i = |4 3 1 20 1 3 2 (i) Show that feasible solutions exist. Find one. (ii) How many linearly independent sets of column vectors are possible? (iii) Find a basic feasible solution (just one is enough).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Consider the constraints of a canonical problem given by
[1 0
[3]
1 2
2 2 4 0 i = |4
2 0
3 1
|2
(i) Show that feasible solutions exist. Find one.
(ii) How many linearly independent sets of column vectors are possible?
(iii) Find a basic feasible solution (just one is enough).
Transcribed Image Text:Consider the constraints of a canonical problem given by [1 0 [3] 1 2 2 2 4 0 i = |4 2 0 3 1 |2 (i) Show that feasible solutions exist. Find one. (ii) How many linearly independent sets of column vectors are possible? (iii) Find a basic feasible solution (just one is enough).
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