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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 ?

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
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 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
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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