QUESTION 10 The following is a L.P.P: Max Z= 5X1 + 7X2 + 6X3 (Hundreds of dollars $) st: 3X1 + 4X2 + 2X3 <= 90 X1 + 2X2 + X3 <= 43.1 X1 + 3X2 + X3 <= 30 X1,X2,X3>=0 (production capacity; hours) (warehouse capacity; hundreds of sq. ft.) (demand for 6 oz. glasses; hundreds of cases) The optimal solution to the model as follows: Basis Св 5X1 7X2 6X3 S1 S2 S3 RHS X2 S1 X1 7 1 0.5 1 -0.5 1 10 -1 -3 10 5 1 1 1 -1 10 5 8.5 1.5 2 120 C-Z -2.5 -1.5 -2 What effect on the optimal solution (value of Z) ,if we change b2 from 43.1 to 55.2 ?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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QUESTION 10
The following is a L.P.P:
Max Z= 5X1 + 7X2 + 6X3 (Hundreds of dollars $)
s.t:
3X1 + 4X2 + 2X3 <= 90
X1 + 2X2 + X3 <= 43.1
X1 + 3X2 + X3 <= 30
X1,X2,X3>=0
(production capacity; hours) (warehouse capacity; hundreds of sq. ft.) (demand for 6 oz. glasses; hundreds of cases)
The optimal solution to the model as follows:
Basis
Св
5X1
7X2
6X3
0.5
S1
S2
S3
RHS
X2
S1
X1
7
1
1
-0.5
1
10
-3
-1
-1
1
10
1
1
1
10
5
7
8.5
1.5
2
120
C-z
-2.5
-1.5
-2
What effect on the optimal solution (value of Z) ,if we change b2 from 43.1 to 55.2 ?
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Transcribed Image Text:QUESTION 10 The following is a L.P.P: Max Z= 5X1 + 7X2 + 6X3 (Hundreds of dollars $) s.t: 3X1 + 4X2 + 2X3 <= 90 X1 + 2X2 + X3 <= 43.1 X1 + 3X2 + X3 <= 30 X1,X2,X3>=0 (production capacity; hours) (warehouse capacity; hundreds of sq. ft.) (demand for 6 oz. glasses; hundreds of cases) The optimal solution to the model as follows: Basis Св 5X1 7X2 6X3 0.5 S1 S2 S3 RHS X2 S1 X1 7 1 1 -0.5 1 10 -3 -1 -1 1 10 1 1 1 10 5 7 8.5 1.5 2 120 C-z -2.5 -1.5 -2 What effect on the optimal solution (value of Z) ,if we change b2 from 43.1 to 55.2 ? Click Save and Submit to save and submit. Click Save All Answers to save all answers. hp
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