sunco oil
DESCRIPTION
Sunco Oil SolutionTRANSCRIPT
Microsoft Excel 14.0 Answer ReportWorksheet: [Book1]Sheet1Report Created: 07-12-2012 16:56:01Result: Solver found a solution. All Constraints and optimality conditions are satisfied.Solver Engine
Engine: Simplex LPSolution Time: 0.016 Seconds.Iterations: 13 Subproblems: 0
Solver OptionsMax Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative
Objective Cell (Max)Cell Name Original Value Final Value
$N$3 Profit 186 288500
Variable CellsCell Name Original Value Final Value Integer
$B$2 No of barrels o1g1(x1) 1 2000 Contin$C$2 No of barrels o1g2(x2) 1 2200 Contin$D$2 No of barrels o1g3(x3) 1 800 Contin$E$2 No of barrels o2g1(x4) 1 1000 Contin$F$2 No of barrels o2g2(x5) 1 4000 Contin$G$2 No of barrels o2g3(x6) 1 0 Contin$H$2 No of barrels o3g1(x7) 1 0 Contin$I$2 No of barrels o3g2(x8) 1 3300 Contin$J$2 No of barrels o3g3(x9) 1 200 Contin$K$2 No of barrels a1 1 0 Contin$L$2 No of barrels a2 1 0 Contin$M$2 No of barrels a3 1 0 Contin
ConstraintsCell Name Cell Value Formula Status Slack
$N$11 OctaneG1 0 $N$11>=$P$11 Binding 0$N$12 OctaneG2 800 $N$12>=$P$12 Not Binding 800$N$13 OctaneG3 5200 $N$13>=$P$13 Not Binding 5200$N$14 DemandG1 3000 $N$14>=$P$14 Binding 0$N$15 DemandG2 9500 $N$15>=$P$15 Not Binding 7500$N$16 Demand G3 1000 $N$16>=$P$16 Binding 0$N$4 Constraint 1 5000 $N$4<=$P$4 Binding 0$N$5 Constraint 2 5000 $N$5<=$P$5 Binding 0$N$6 Constraint 3 3500 $N$6<=$P$6 Not Binding 1500$N$7 Processing 13500 $N$7<=$P$7 Not Binding 500$N$8 SulphurG1 0 $N$8<=$P$8 Binding 0$N$9 SulphurG2 0 $N$9<=$P$9 Binding 0
$N$10 Sulphur G3 5.68434189E-14 $N$10<=$P$10 Binding 0
Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative
Microsoft Excel 14.0 Sensitivity ReportWorksheet: [Book1]Sheet1Report Created: 07-12-2012 16:56:01
Variable CellsFinal Reduced Objective Allowable Allowable
Cell Name Value Cost Coefficient Increase Decrease$B$2 No of barrels o1g1(x1) 2000 0 21 0 1E+030$C$2 No of barrels o1g2(x2) 2200 0 11 1.776357E-14 0$D$2 No of barrels o1g3(x3) 800 0 1 51.25 1.776357E-14$E$2 No of barrels o2g1(x4) 1000 0 31 63 0$F$2 No of barrels o2g2(x5) 4000 0 21 0 7.105427E-15$G$2 No of barrels o2g3(x6) 0 -7.105427E-15 11 7.105427E-15 1E+030$H$2 No of barrels o3g1(x7) 0 0 41 0 46.5$I$2 No of barrels o3g2(x8) 3300 0 31 1.184238E-14 0$J$2 No of barrels o3g3(x9) 200 0 21 205 1.184238E-14$K$2 No of barrels a1 0 -211 -1 211 1E+030$L$2 No of barrels a2 0 -1 -1 1 1E+030$M$2 No of barrels a3 0 -411 -1 411 1E+030
ConstraintsFinal Shadow Constraint Allowable Allowable
Cell Name Value Price R.H. Side Increase Decrease$N$11 OctaneG1 0 0 0 800 0$N$12 OctaneG2 800 0 0 800 1E+030$N$13 OctaneG3 5200 0 0 5200 1E+030$N$14 DemandG1 3000 -21 3000 400 500$N$15 DemandG2 9500 0 2000 7500 1E+030$N$16 Demand G3 1000 -41 1000 250 500$N$4 Constraint 1 5000 57.5 5000 200 200$N$5 Constraint 2 5000 21 5000 400 4000$N$6 Constraint 3 3500 0 5000 1E+030 1500$N$7 Processing 13500 0 14000 1E+030 500$N$8 SulphurG1 0 31 0 500 0$N$9 SulphurG2 0 31 0 500 3300$N$10 Sulphur G3 5.684342E-14 31 0 500 500
Microsoft Excel 14.0 Answer ReportWorksheet: [Sunco Oil.xlsx]Sheet1Report Created: 07-12-2012 17:09:15Result: Solver found a solution. All Constraints and optimality conditions are satisfied.Solver Engine
Engine: Simplex LPSolution Time: 0 Seconds.Iterations: 13 Subproblems: 0
Solver OptionsMax Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative
Objective Cell (Max)Cell Name Original Value Final Value
$N$3 Profit 189 288500
Variable CellsCell Name Original Value Final Value Integer
$B$2 No of barrels o1g1(x1) 1 2000 Contin$C$2 No of barrels o1g2(x2) 1 2200 Contin$D$2 No of barrels o1g3(x3) 1 800 Contin$E$2 No of barrels o2g1(x4) 1 1000 Contin$F$2 No of barrels o2g2(x5) 1 4000 Contin$G$2 No of barrels o2g3(x6) 1 0 Contin$H$2 No of barrels o3g1(x7) 1 0 Contin$I$2 No of barrels o3g2(x8) 1 3300 Contin$J$2 No of barrels o3g3(x9) 1 200 Contin$K$2 No of barrels a1 0 0 Contin$L$2 No of barrels a2 0 0 Contin$M$2 No of barrels a3 0 0 Contin
ConstraintsCell Name Cell Value Formula Status Slack
$N$11 OctaneG1 0 $N$11>=$P$11 Binding 0$N$12 OctaneG2 800 $N$12>=$P$12 Not Binding 800$N$13 OctaneG3 5200 $N$13>=$P$13 Not Binding 5200$N$14 DemandG1 3000 $N$14>=$P$14 Binding 0$N$15 DemandG2 9500 $N$15>=$P$15 Not Binding 7500$N$16 Demand G3 1000 $N$16>=$P$16 Binding 0$N$4 Constraint 1 5000 $N$4<=$P$4 Binding 0$N$5 Constraint 2 5000 $N$5<=$P$5 Binding 0$N$6 Constraint 3 3500 $N$6<=$P$6 Not Binding 1500$N$7 Processing 13500 $N$7<=$P$7 Not Binding 500$N$8 SulphurG1 0 $N$8<=$P$8 Binding 0$N$9 SulphurG2 0 $N$9<=$P$9 Binding 0
$N$10 Sulphur G3 5.68434189E-14 $N$10<=$P$10 Binding 0
Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative
Microsoft Excel 14.0 Sensitivity ReportWorksheet: [Sunco Oil.xlsx]Sheet1Report Created: 07-12-2012 17:09:15
Variable CellsFinal Reduced Objective Allowable Allowable
Cell Name Value Cost Coefficient Increase Decrease$B$2 No of barrels o1g1(x1) 2000 0 21 0 1E+030$C$2 No of barrels o1g2(x2) 2200 0 11 1.776357E-14 0$D$2 No of barrels o1g3(x3) 800 0 1 51.25 1.776357E-14$E$2 No of barrels o2g1(x4) 1000 0 31 63 0$F$2 No of barrels o2g2(x5) 4000 0 21 0 7.105427E-15$G$2 No of barrels o2g3(x6) 0 -7.105427E-15 11 7.105427E-15 1E+030$H$2 No of barrels o3g1(x7) 0 0 41 0 46.5$I$2 No of barrels o3g2(x8) 3300 0 31 1.184238E-14 0$J$2 No of barrels o3g3(x9) 200 0 21 205 1.184238E-14$K$2 No of barrels a1 0 -211 -1 211 1E+030$L$2 No of barrels a2 0 -1 -1 1 1E+030$M$2 No of barrels a3 0 -411 -1 411 1E+030
ConstraintsFinal Shadow Constraint Allowable Allowable
Cell Name Value Price R.H. Side Increase Decrease$N$11 OctaneG1 0 0 0 800 0$N$12 OctaneG2 800 0 0 800 1E+030$N$13 OctaneG3 5200 0 0 5200 1E+030$N$14 DemandG1 3000 -21 3000 400 500$N$15 DemandG2 9500 0 2000 7500 1E+030$N$16 Demand G3 1000 -41 1000 250 500$N$4 Constraint 1 5000 57.5 5000 200 200$N$5 Constraint 2 5000 21 5000 400 4000$N$6 Constraint 3 3500 0 5000 1E+030 1500$N$7 Processing 13500 0 14000 1E+030 500$N$8 SulphurG1 0 31 0 500 0$N$9 SulphurG2 0 31 0 500 3300$N$10 Sulphur G3 5.684342E-14 31 0 500 500
o1g1(x1) o1g2(x2) o1g3(x3) o2g1(x4) o2g2(x5) o2g3(x6) o3g1(x7) o3g2(x8)No of barrels 2000 2200 800 1000 4000 0 0 3300Profit 21 11 1 31 21 11 41 31Constraint 1 1 1 1 0 0 0 0 0Constraint 2 0 0 0 1 1 1 0 0Constraint 3 0 0 0 0 0 0 1 1Processing 1 1 1 1 1 1 1 1SulphurG1 -0.5 0 0 1 0 0 2 0SulphurG2 0 -1.5 0 0 0 0 0 1Sulphur G3 0 0 -0.5 0 0 1 0 0OctaneG1 2 0 0 -4 0 0 -2 0OctaneG2 0 4 0 0 -2 0 0 0OctaneG3 0 0 6 0 0 0 0 0DemandG1 1 0 0 1 0 0 1 0DemandG2 0 1 0 0 1 0 0 1Demand G3 0 0 1 0 0 1 0 0
o3g3(x9) a1 a2 a3200 0 0 0
21 -1 -1 -1 2885000 0 0 0 5000 <= 50000 0 0 0 5000 <= 50001 0 0 0 3500 <= 50001 0 0 0 13500 <= 140000 0 0 0 0 <= 00 0 0 0 0 <= 02 0 0 0 0 <= 00 0 0 0 0 >= 00 0 0 0 800 >= 02 0 0 0 5200 >= 00 -10 0 0 3000 >= 30000 0 -10 0 9500 >= 20001 0 0 -10 1000 >= 1000