(1) Consider the following LPP: maximize subject to 12 z=x17x2 x3 - 2x4 2x1 1 - - - x1 + x2 11 2 x2 3 21-2 x2 - 5 x3 + x4 ≤1 x3+9x4 ≤0 2x3 1 x3+x4≤0 2x3 x1, x2, x3, x4 ≥ 0 (a) Show that cycling occurs when solving the problem using the Simplex method.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4BGP
Question
(1) Consider the following LPP:
maximize
subject to
12
z=x17x2 x3 - 2x4
2x1
1
-
-
-
x1 + x2
11
2
x2
3
21-2
x2
-
5
x3 + x4 ≤1
x3+9x4 ≤0
2x3
1
x3+x4≤0
2x3
x1, x2, x3, x4 ≥ 0
(a) Show that cycling occurs when solving the problem using the Simplex method.
Transcribed Image Text:(1) Consider the following LPP: maximize subject to 12 z=x17x2 x3 - 2x4 2x1 1 - - - x1 + x2 11 2 x2 3 21-2 x2 - 5 x3 + x4 ≤1 x3+9x4 ≤0 2x3 1 x3+x4≤0 2x3 x1, x2, x3, x4 ≥ 0 (a) Show that cycling occurs when solving the problem using the Simplex method.
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