Maximize z = 5æ, + 2æ2 + 3æz x1 +5x2 + 2xz = 30 x1 – 5x2 – 6x3 < 40 X1, X2, X3 > 0
Maximize z = 5æ, + 2æ2 + 3æz x1 +5x2 + 2xz = 30 x1 – 5x2 – 6x3 < 40 X1, X2, X3 > 0
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:*4-12. Consider the following LP:
Maximize z = 5x1 + 2x2 + 3¤3
subject to
X1 + 5x2 + 2x3 = 30
X1 – 5x2 – 6x3 < 40
X1, X2, X3 > 0
Given that the artificial variable x4 and the slack variable x5 form the starting basic
variables and that M was set equal to 100 when solving the problem, the optimal tableau
is given as:
Basic
X1
X2
X3
X4
X5
Solution
23
7
105
150
X1
1
5
1
30
0 -10
-1 1
X5
-8
10
Write the associated dual problem, and determine its optimal solution in two ways.
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