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Given the following LP model and answer questions below: Max. 23X1+ 9X2 + 18X3+14X4 S.T: 5X1 +8X2 + 11X3 +6X4 = 30 17X1 +9X2 + 25X3 >= 40 10X1 + + 12X4<= 40 114X2 + 15X4<= 80 X1, X2, X3, X4 >= Zero 1. The slack/surplus variable for the constraints are: 2. If the profit/unit of X4 decrease to 8 JD, the value of the optimal solution will be: 3. If constraint (3) is modified to (>=), determine what will happen to the optimal solution: 4. If constraint (2) is modified to (<=), the binding constraints is/are:

Given the following LP model and answer questions below: Max. 23X1+ 9X2 + 18X3+14X4 S.T: 5X1 +8X2 + 11X3 +6X4 = 30 17X1 +9X2 + 25X3 >= 40 10X1 + + 12X4<= 40 114X2 + 15X4<= 80 X1, X2, X3, X4 >= Zero 1. The slack/surplus variable for the constraints are: 2. If the profit/unit of X4 decrease to 8 JD, the value of the optimal solution will be: 3. If constraint (3) is modified to (>=), determine what will happen to the optimal solution: 4. If constraint (2) is modified to (<=), the binding constraints is/are:

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 46P
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Given the following LP model and answer questions below: Max. 23X1+ 9X2+ 18X3+14X4 S.T: 5X1 + 8X2 +11X3 + 6X4 = 30 17X1 + 9X2 + 25X3 >= 40 10X1 + + 12X4 <= 40 114X2 + 15X4 <= 80 X1, X2, X3, X4 >= Zero 1. The slack/surplus variable for the constraints are: 2. If the profit/unit of X4 decrease to 8 JD, the value of the optimal solution will be: 3. If constraint (3) is modified to (>=), determine what will happen to the optimal solution: 4. If constraint (2) is modified to (<=), the binding constraints is/are:
Transcribed Image Text:Given the following LP model and answer questions below: Max. 23X1+ 9X2+ 18X3+14X4 S.T: 5X1 + 8X2 +11X3 + 6X4 = 30 17X1 + 9X2 + 25X3 >= 40 10X1 + + 12X4 <= 40 114X2 + 15X4 <= 80 X1, X2, X3, X4 >= Zero 1. The slack/surplus variable for the constraints are: 2. If the profit/unit of X4 decrease to 8 JD, the value of the optimal solution will be: 3. If constraint (3) is modified to (>=), determine what will happen to the optimal solution: 4. If constraint (2) is modified to (<=), the binding constraints is/are:
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