CO 350 Linear Optimization (Spring 2009)
Assignment 3
Section 1: Due at 1:00p.m. June 11, 2009 (Th) in MC1085, before the lecture starts
Section 2: Due at 10:30a.m. June 12, 2009 (F) in MC2065, before the lecture starts
Write your name, ID# and Section# clearly. NO
collaboration is allowed. The numbering of
the exercises refers to the April 2009 version of the course notes.
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[20]
1.
Consider the tableau
T
1
below.
z
+ 5
x
2

2
x
3
+
x
5
= 13
3
x
2

2
x
3

6
x
5
+
x
6
=
4
5
x
2
+ 2
x
3
+
x
4

x
5
=
5
x
1

2
x
2
+
x
3
+ 2
x
5
=
2
(a) What is the basic solution associated with
T
1
?
(b) What is the objective function value associated with this solution?
(c) Perform one complete iteration of the simplex algorithm.
(d) From the results of this iteration and the new tableau, can you say that the original LP problem
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 Fall '07
 S.Furino,B.Guenin
 Linear Programming, Optimization, Simplex algorithm, LP problem, tableau T

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