Write your report on the sensitivity analysis of constraints C2 and C3

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.3: Clustering Methods
Problem 15P
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Consider the following linear programming problem
Max. Z = 9X₁ + 16X₂
Subject to:
C1:
C2:
C3:
C4:
C5:
Variable Cells
X₁
2X₁
X₁
X₁
Microsoft Excel 16.0 Sensitivity Report
Worksheet: [Question Sensitivity analysis.xlsx]Sheet2
Report Created: 10/24/2021 10:45:53 AM
$B$5 Values x1
$C$5 Values x2
$D$10 C5Z
$D$6 C1Z
$D$7 C2Z
$D$8 C3Z
$D$9 CAZ
X₂
This problem was solved using MS Solver of MS Excel.
Following is the output of the solution.
3
6
3X₂
0
0
X₂
Final Reduced Objective Allowable Allowable
Cell Name Value Cost Coefficient Increase
Decrease
6
3
24
9
3
Constraints
Cell Name Value Price R.H. Side
05500
-5
5
15
3
0
0
0
3
24
10
0
Final Shadow Constraint Allowable Allowable
Increase Decrease
1E+30
5
1E+30
24
10
6
3
3
1E+30
1E+30
7.5
3
18
1
3 1E+30
Write your report on the sensitivity analysis of constraints
C2 and C3
Transcribed Image Text:Consider the following linear programming problem Max. Z = 9X₁ + 16X₂ Subject to: C1: C2: C3: C4: C5: Variable Cells X₁ 2X₁ X₁ X₁ Microsoft Excel 16.0 Sensitivity Report Worksheet: [Question Sensitivity analysis.xlsx]Sheet2 Report Created: 10/24/2021 10:45:53 AM $B$5 Values x1 $C$5 Values x2 $D$10 C5Z $D$6 C1Z $D$7 C2Z $D$8 C3Z $D$9 CAZ X₂ This problem was solved using MS Solver of MS Excel. Following is the output of the solution. 3 6 3X₂ 0 0 X₂ Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease 6 3 24 9 3 Constraints Cell Name Value Price R.H. Side 05500 -5 5 15 3 0 0 0 3 24 10 0 Final Shadow Constraint Allowable Allowable Increase Decrease 1E+30 5 1E+30 24 10 6 3 3 1E+30 1E+30 7.5 3 18 1 3 1E+30 Write your report on the sensitivity analysis of constraints C2 and C3
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