The following is a L.P.P: Max 10.3X1-3.6X2 12X3 (Hundreds of dollars $) s.t: X1 + X2 • X3 <- 10 X1 + X2 + X3 <- 12 X1 + X2 + 2X3 <- 13 (demand for 6 oz. glasses; hundreds of cases) (production capacity; hours) (warehouse capacity; hundreds of sq. ft.) x1, x2, x3 2 0 The optimal solution to the model as follows: Basis Cij 10.3X1 -3.6X2 12X3 OS1 OS2 OS3 RHS -1 18 S1 X1 X3 -1 11 10.3 1 -1 1 1 12 C-Z How much is the Absolut value of the reduced cost (in $) in the optimal

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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The following is a L.P.P:
Max 10.3X1 -3.6X2 + 12X3 (Hundreds of dollars $)
5.t:
(production capacity; hours)
(warehouse capacity; hundreds of sq. ft.)
X1 + X2 + 2X3 <= 13 (demand for 6 oz. glasses; hundreds of cases)
X1 + X2 + X3 <= 10
X1 + X2 + X3 <- 12
x1, x2, x3 > 0
The optimal solution to the model as follows:
Basis
Cij
10.3X1
-3.6X2
12X3
OS1
OS2
OS3
RHS
-1
18
S1
X1
X3
1
-1
11
10.3
1
1
-1
1
1
12
C-Z
How much is the Absolut value of the reduced cost (in $) in the optimal
solution?
i.e Absolut value of |-5| = always = 5
Transcribed Image Text:The following is a L.P.P: Max 10.3X1 -3.6X2 + 12X3 (Hundreds of dollars $) 5.t: (production capacity; hours) (warehouse capacity; hundreds of sq. ft.) X1 + X2 + 2X3 <= 13 (demand for 6 oz. glasses; hundreds of cases) X1 + X2 + X3 <= 10 X1 + X2 + X3 <- 12 x1, x2, x3 > 0 The optimal solution to the model as follows: Basis Cij 10.3X1 -3.6X2 12X3 OS1 OS2 OS3 RHS -1 18 S1 X1 X3 1 -1 11 10.3 1 1 -1 1 1 12 C-Z How much is the Absolut value of the reduced cost (in $) in the optimal solution? i.e Absolut value of |-5| = always = 5
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