2(a) The tableau is not optimal for either maximization or a minimization problem. Thus, when a non-basic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering non basic variable. Basic x1 X2 X3 X4 X5 X6 X7 X8 solution Z O -5 4 -1 -10 620 X8 -2 -3 -1 5 12 X3 1 1 3 1 3 X1 1 -1 -4 (i)Categorize the variables as basic and non-basic and provide the current values of all the variables. (ii)Assuming that the problem is of the maximization type, identify the non- basic variables that have the potential to improve the value of Z. If each such 3 variable enters the basic solution, determine the associated leaving variable, if any, and the associated change in Z.
2(a) The tableau is not optimal for either maximization or a minimization problem. Thus, when a non-basic variable enters the solution it can either increase or decrease Z or leave it unchanged, depending on the parameters of the entering non basic variable. Basic x1 X2 X3 X4 X5 X6 X7 X8 solution Z O -5 4 -1 -10 620 X8 -2 -3 -1 5 12 X3 1 1 3 1 3 X1 1 -1 -4 (i)Categorize the variables as basic and non-basic and provide the current values of all the variables. (ii)Assuming that the problem is of the maximization type, identify the non- basic variables that have the potential to improve the value of Z. If each such 3 variable enters the basic solution, determine the associated leaving variable, if any, and the associated change in Z.
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:2(a) The tableau is not optimal for either maximization or a minimization
problem. Thus, when a non-basic variable enters the solution it can either
increase or decrease Z or leave it unchanged, depending on the parameters of
the entering non basic variable.
Basic x1
X2
X3
X4
X5
X6
X7
X8
solution
-5
4
-1
-10 0 0
620
X8
-2
-3
-1
1
12
X3
1
1
3
1
3
X1
1
-1
0 0 6
-4
(i)Categorize the variables as basic and non-basic and provide the current
values of all the variables.
(ii)Assuming that the problem is of the maximization type, identify the non-
basic variables that have the potential to improve the value of Z. If each such
3
variable enters the basic solution, determine the associated leaving variable, if
any, and the associated change in Z.
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