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Excel reports generated from an optimization problem aimed at determining the optimal distribution of passengers among different modes of transportation in osaka bay. The reports include an answer report, sensitivity report, and limits report. The optimization problem involves deciding the number of passengers for five different modes of transportation (v1 to vbus) subject to certain constraints. The objective function aims to minimize the total cost while ensuring the total number of passengers does not exceed the capacity.
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Microsoft Excel 10.1 Answer Report Worksheet: [Workbook1]Sheet Report Created: 3/10/2003 5:04:25 AM Target Cell (Max) Cell Name Original Value Final Value $B$10 300 x1 + 500 x2 60845371327 36000 Adjustable Cells Cell Name Original Value Final Value $B$5 x1 53687092.2 20 $B$6 x2 89478487.333 60 Constraints Cell Name Cell Value Formula Status Slack $B$14 3 x1 + 2 x2 <= 180 Formula 180 $B$14<=$D$14 Binding 0 $B$15 x1 <= 40 Formula 20 $B$15<=$D$15 Not Binding 20 $B$16 x2 <= 60 Formula 60 $B$16<=$D$16 Binding 0 $B$17 x1 >= 0 Formula 20 $B$17>=$D$17 Not Binding 20 $B$18 x2 >= 0 Formula 60 $B$18>=$D$18 Not Binding 60
Slack
Microsoft Excel 10.1 Limits Report Worksheet: [Workbook1]Sheet Report Created: 3/10/2003 5:04:26 AM Target Cell Name Value $B$10 300 x1 + 500 x2 36000 Adjustable Lower Target Upper Target Cell Name Value Limit Result Limit Result $B$5 x1 20 0 30000 20 36000 $B$6 x2 60 1.332268E-15 6000 60 36000
Optimization Problem for Osaka Bay Decision Variables v1 0 Number of Passengers 1 v2 0 Number of Passengers 2 v3+ 0 Number of Passengers 3 vvan 0 Number of Passengers 4 vbus 0 Number of Passengers 5 Objective Function v11+v21+v33.5+vvan7+vbus40= 0 v11+v21+v31+vvan1.2+vbus1.5= 1500 Constraint Equations Formula v11+v21+v33.5+vvan7+vbus40<=4500 0 <= 4500 v11+v21+v31+vvan1.2+vbus1.5<=1500 0 <= 1500 v1 =0 0 "=" 0 v2 >= 0 0 <= 4500 v3 >= 0 0 <= 4500 vvan>=0 0 <= 220 vbus>=0 0 <= 75