What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ?

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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QUESTION 12
The following is a L.P.P:
Max Z= 5X1 + 7X2 + 6X3 (Hundreds of dollars $)
s.t:
X1 + 4X2 + 2X3 <= 60
2X1 + 2X2 + 3X3 <= 40
X1 + 2X2 + 2X3 <= 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
7
-0.5
1
10
S1
-1
1
-3
10
X1
1
1
-1
10
7
8.5
1.5
120
C-z
-2.5
-1.5
-2
What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ?
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Transcribed Image Text:QUESTION 12 The following is a L.P.P: Max Z= 5X1 + 7X2 + 6X3 (Hundreds of dollars $) s.t: X1 + 4X2 + 2X3 <= 60 2X1 + 2X2 + 3X3 <= 40 X1 + 2X2 + 2X3 <= 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 7 -0.5 1 10 S1 -1 1 -3 10 X1 1 1 -1 10 7 8.5 1.5 120 C-z -2.5 -1.5 -2 What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ? Click Save and Submit to save and submit. Click Save All Answers to save all answers. hp
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