1. transportation problem From A B C DV From A B C Constraint Demand Objective Minimize Cost 1 $6 11 4 To (cost) 2 $5 8 10 3 $5 9 7 1 0.00 0.00 70.00 70.00 = 70 To 2 100.00 0.00 0.00 100.00 = 100 3 50.00 0.00 30.00 80.00 = 80 $1,240.00 Constraint 150 0 100 Supply <= <= <= 150 85 125 Note: Blue cells are your decision variables s 2. transportation problem From A B C DV From A B C Constraint Demand Objective Minimize Cost 1 $8 6 9 To (cost) 2 $14 17 24 3 $8 7 10 1 0.00 0.00 110.00 110.00 = 110 To 2 120.00 20.00 0.00 140.00 = 140 3 0.00 60.00 40.00 100.00 = 100 3830 Constraint 120 80 150 Supply = = = 120 80 150 Note: Blue cells are your decision variables s 3. World Foods, Inc. From 1. Hamburg 2. Marseilles 3. Liverpool Warehouse 4. Norfolk 5. New York 6. Savannah 4. Norfolk $320 410 550 To (cost) 5. New York $280 470 355 6. Savannah $555 365 525 Distribution Center 7. Dallas 8. St. Louis 9. Chicago $80 $78 $85 100 120 95 65 75 90 To (cost) DV From 1. Hamburg 2. Marseilles 3. Liverpool Warehouse 4. Norfolk 5. New York 6. Savannah Constraints Demand 4. Norfolk 5. New York 6. Savannah 0.00 0.00 0.00 75.00 0.00 40.00 0.00 85.00 0.00 75.00 85.00 40.00 Supply from sources Constraints = = = 75 85 40 Distribution Center 7. Dallas 8. St. Louis 9. Chicago Constraints 0.00 50.00 35.00 85 <= 85 0.00 0.00 50.00 50 <= 70 0.00 65.00 0.00 65 <= 65 0.00 0.00 0.00 Net Flow (distribution center) = = = 0.00 0.00 0.00 220 Objective Minimize Cost $83,425 200 4. Omega pharmaceutical firm Region (days) Sales-person 1 2 3 4 5 DV Sales-person 1 2 3 4 5 Constraints Region assigned Objective Minimize Time A B C D E 20 14 12 16 12 10 10 13 12 15 12 18 19 14 19 10 11 11 22 26 22 15 14 16 23 A B C D E Assignment = = = = = = 1 = 1 = 1 = 1 = 1 1 1 1 1 1 1. transportation problem From A B C DV From A B C Constraint Demand Objective Minimize Cost 1 $6 11 4 To (cost) 2 $5 8 10 3 $5 9 7 1 0.00 0.00 70.00 70.00 = 70 To 2 100.00 0.00 0.00 100.00 = 100 3 50.00 0.00 30.00 80.00 = 80 $1,240.00 Constraint 150 0 100 Supply <= <= <= 150 85 125 Note: Blue cells are your decision variables s 2. transportation problem From A B C DV From A B C Constraint Demand Objective Minimize Cost 1 $8 6 9 To (cost) 2 $14 17 24 3 $8 7 10 1 0.00 0.00 110.00 110.00 = 110 To 2 120.00 20.00 0.00 140.00 = 140 3 0.00 60.00 40.00 100.00 = 100 3830 Constraint 120 80 150 Supply = = = 120 80 150 Note: Blue cells are your decision variables s 3. World Foods, Inc. From 1. Hamburg 2. Marseilles 3. Liverpool Warehouse 4. Norfolk 5. New York 6. Savannah 4. Norfolk $320 410 550 To (cost) 5. New York $280 470 355 6. Savannah $555 365 525 Distribution Center 7. Dallas 8. St. Louis 9. Chicago $80 $78 $85 100 120 95 65 75 90 To (cost) DV From 1. Hamburg 2. Marseilles 3. Liverpool Warehouse 4. Norfolk 5. New York 6. Savannah Constraints Demand 4. Norfolk 5. New York 6. Savannah 0.00 0.00 0.00 75.00 0.00 40.00 0.00 85.00 0.00 75.00 85.00 40.00 Supply from sources Constraints = = = 75 85 40 Distribution Center 7. Dallas 8. St. Louis 9. Chicago Constraints 0.00 50.00 35.00 85 <= 85 0.00 0.00 50.00 50 <= 70 0.00 65.00 0.00 65 <= 65 0.00 0.00 0.00 Net Flow (distribution center) = = = 0.00 0.00 0.00 220 Objective Minimize Cost $83,425 200 4. Omega pharmaceutical firm Region (days) Sales-person 1 2 3 4 5 DV Sales-person 1 2 3 4 5 Constraints Region assigned Objective Minimize Time A B C D E 20 14 12 16 12 10 10 13 12 15 12 18 19 14 19 10 11 11 22 26 22 15 14 16 23 A B C D E Assignment = = = = = = 1 = 1 = 1 = 1 = 1 1 1 1 1 1