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Question: 2 THE FOLLOWING QUESTIONS WILL BE ANSWERED BY TAKING INTO CONSIDERATION THE TABLE VALUES GIVEN. THE CHANGE ASKED IN EACH COMPLAINT WILL NOT BE PUT IN THE SOLUTION OBTAINED BY WRITING IN UNGO. THE SOFTWARE WILL NEVER BE USED a) According to the Lindo screen output above; What is the value of the variables X 1, X 2, X 3, Xa and the purpose function? b) Is there an increased constraint (resource)? If so, which or how much of which has it increased? c) 3. If we make the constraint x 4 2 55 instead of X 42 50, does the value of the purpose functionchange? What happens to the new value if it changes? Explain. d) If we add the constraint X2 = 2 to the model , does the value of the purpose function change? Explain. e) If we take into account the X 3+X4=80 constraint (2nd constraint), how much can we increase the profit at most without disturbing the optimal solution set ?

Question: 2 THE FOLLOWING QUESTIONS WILL BE ANSWERED BY TAKING INTO CONSIDERATION THE TABLE VALUES GIVEN. THE CHANGE ASKED IN EACH COMPLAINT WILL NOT BE PUT IN THE SOLUTION OBTAINED BY WRITING IN UNGO. THE SOFTWARE WILL NEVER BE USED a) According to the Lindo screen output above; What is the value of the variables X 1, X 2, X 3, Xa and the purpose function? b) Is there an increased constraint (resource)? If so, which or how much of which has it increased? c) 3. If we make the constraint x 4 2 55 instead of X 42 50, does the value of the purpose functionchange? What happens to the new value if it changes? Explain. d) If we add the constraint X2 = 2 to the model , does the value of the purpose function change? Explain. e) If we take into account the X 3+X4=80 constraint (2nd constraint), how much can we increase the profit at most without disturbing the optimal solution set ?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Question: 2 THE FOLLOWING QUESTIONS WILL BE ANSWERED BY TAKING INTO CONSIDERATION THE TABLE VALUES GIVEN. THE CHANGE ASKED IN EACH COMPLAINT WILL NOT BE PUT IN THE SOLUTION OBTAINED BY WRITING IN LINGO. THE SOFTWARE WILL NEVER BE USED a) According to the Lindo screen output above; what is the value of the variables X 1, X 2, X 3, Xa and the purpose function? b) Is there an increased constraint (resource)? If so, which or how much of which has it increased? c) 3. If we make the constraint x 4 2 55 instead of X 4 2 50, does the value of the purpose functionchange? What happens to the new value if it changes? Explain. d) If we add the constraint X2 = 2 to the model , does the value of the purpose function change? Explain. e) If we take into account the X 3+X4=80 constraint (2nd constraint), how much can we increase the profit at most without disturbing the optimal solution set ? Range Report - Lingo1 Solution Report - Lingo1 xi+2*x2+13 200; Current Allovable Allovable 10: Variable Coefficient Increase Decrease x4 >50: X1 1.000000 5.000000 0.5000000 end X2 1.000000 1.000000 INFINITY Variable Valse Reduced Cost X3 4.000000 INFINITY 5.000000 XI 170.0000 0.000000 0.000000 30.00000 1.000000 0.000000 X4 -2.000000 5.00000 INFINITY X2 X3 Bighthand Side Banges: X4 50.00000 0.000000 Slack or Surplus 190.0000 Current Allovable Allovable Rov Dual Price Decrease 170.0000 Increase 1.000000 2 1.000000 3.000000 200.0000 INFINITY 0.000000 0.000000 0.000000 80.00000 170.0000 30.00000 50.00000 30.00000 50.00000 -5.000000
Transcribed Image Text:Question: 2 THE FOLLOWING QUESTIONS WILL BE ANSWERED BY TAKING INTO CONSIDERATION THE TABLE VALUES GIVEN. THE CHANGE ASKED IN EACH COMPLAINT WILL NOT BE PUT IN THE SOLUTION OBTAINED BY WRITING IN LINGO. THE SOFTWARE WILL NEVER BE USED a) According to the Lindo screen output above; what is the value of the variables X 1, X 2, X 3, Xa and the purpose function? b) Is there an increased constraint (resource)? If so, which or how much of which has it increased? c) 3. If we make the constraint x 4 2 55 instead of X 4 2 50, does the value of the purpose functionchange? What happens to the new value if it changes? Explain. d) If we add the constraint X2 = 2 to the model , does the value of the purpose function change? Explain. e) If we take into account the X 3+X4=80 constraint (2nd constraint), how much can we increase the profit at most without disturbing the optimal solution set ? Range Report - Lingo1 Solution Report - Lingo1 xi+2*x2+13 200; Current Allovable Allovable 10: Variable Coefficient Increase Decrease x4 >50: X1 1.000000 5.000000 0.5000000 end X2 1.000000 1.000000 INFINITY Variable Valse Reduced Cost X3 4.000000 INFINITY 5.000000 XI 170.0000 0.000000 0.000000 30.00000 1.000000 0.000000 X4 -2.000000 5.00000 INFINITY X2 X3 Bighthand Side Banges: X4 50.00000 0.000000 Slack or Surplus 190.0000 Current Allovable Allovable Rov Dual Price Decrease 170.0000 Increase 1.000000 2 1.000000 3.000000 200.0000 INFINITY 0.000000 0.000000 0.000000 80.00000 170.0000 30.00000 50.00000 30.00000 50.00000 -5.000000
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ISBN:
9781337406659
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