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MORE THAN TWO DECISION VARIABLES 111

Figure 3.12 The Management Scientist Solution for the Modified GulfGolf Problem Incorporating the 20
per cent Lightweightbag Requirement and the 30 per cent Deluxe Bag Requirement
Target Cell (Max)
Original
Name Value Final Value
Maximize Total Profit Standard 0 8044.255497
Adjustable Cells
Original
Name Value Final Value
Bags produced Standard 0 403.4473181
Bags produced Deluxe 0 222.2073946
Bags produced Lightweight 0 156.4136782
Constraints
Name Cell Value Status Slack
Cutting and Dyeing 629.7514598 Not Binding 0.248540212
Hours Used (LHS)
Sewing Hours 543.3094253 Not Binding 56.69057465
Used (LHS)
Finishing Hours 708 Binding 0
Used (LHS)
Inspection and 135 Binding 0
Packaging Hours
Used(LHS)
Minimum production 101.1731992 Not Binding 101.1731992
of Deluxe Hours
Used (LHS)
Lightweight bags 0 Binding 0
requirement Hours
Used (LHS)
Adjustable Cells
Final Reduced Objective Allowable Allowable
Name Value Cost Coefficient Increase Decrease
Bags produced 403.4473181 0 10 2.070069301 6.862
Standard
Bags produced 222.2073946 0 9 1.1500271 2.5232981
Deluxe
Bags produced 156.4136782 0 12.85 E + 30 0.940932893
Lightweight
Constraints
Final Shadow Constraint Allowable Allowable
Name Value Price R.H. Side Increase Decrease
Cutting and Dyeing 629.7514598 0 630 1E+30 0.248540212
Hours Used(LHS)
Sewing Hours 543.3094253 0 600 1E+30 56.69057465
Used(LHS)
Finishing Hours 708 8.87329575 708 0.696391304 311.99856
Used(LHS)
Inspection and 135 13.05157115 135 0.088983729 16.0328649
Packaging Hours
Used(LHS)
Minimum production 101.1731992 0 0 101.1731992 1E+30
of Deluxe Hours
Used(LHS) 0 0.892264327 0 156.480551 0.779209407
Lightweight bags
requirement Hours
Used (LHS)

Formulation of the KCC Problem
To formulate a linear programming model for the KCC problem, we introduce the
following three decision variables:

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