Week 10 hw

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HW10_answer_sheet.xlsx

P1

1. transportation problem
From To (cost)
1 2 3
A $6 $5 $5
B 11 8 9
C 4 10 7
DV From To Supply Note: Blue cells are your decision variables
1 2 3 Constraint
A 0.00 100.00 50.00 150 <= 150
B 0.00 0.00 0.00 0 <= 85
C 70.00 0.00 30.00 100 <= 125
Constraint 70.00 100.00 80.00
= = =
Demand 70 100 80
Objective Minimize Cost $1,240.00

P2

2. transportation problem
From To (cost)
1 2 3
A $8 $14 $8
B 6 17 7
C 9 24 10
DV From To Supply Note: Blue cells are your decision variables
1 2 3 Constraint
A 0.00 120.00 0.00 120 = 120
B 0.00 20.00 60.00 80 = 80
C 110.00 0.00 40.00 150 = 150
Constraint 110.00 140.00 100.00
= = =
Demand 110 140 100
Objective Minimize Cost 3830

P3

3. World Foods, Inc.
From To (cost)
4. Norfolk 5. New York 6. Savannah
1. Hamburg $320 $280 $555
2. Marseilles 410 470 365
3. Liverpool 550 355 525
Warehouse Distribution Center
7. Dallas 8. St. Louis 9. Chicago
4. Norfolk $80 $78 $85
5. New York 100 120 95
6. Savannah 65 75 90
DV From To (cost) Supply from sources
4. Norfolk 5. New York 6. Savannah Constraints
1. Hamburg 0.00 75.00 0.00 75.00 = 75
2. Marseilles 0.00 0.00 85.00 85.00 = 85
3. Liverpool 0.00 40.00 0.00 40.00 = 40
Warehouse Distribution Center
7. Dallas 8. St. Louis 9. Chicago Constraints Net Flow (distribution center)
4. Norfolk 0.00 0.00 0.00 0.00 = 0.00
5. New York 50.00 0.00 65.00 0.00 = 0.00
6. Savannah 35.00 50.00 0.00 0.00 = 0.00
Constraints 85 50 65
<= <= <=
Demand 85 70 65
220 200
Objective Minimize Cost $83,425

P4

4. Omega pharmaceutical firm
Region (days)
Sales-person A B C D E
1 20 10 12 10 22
2 14 10 18 11 15
3 12 13 19 11 14
4 16 12 14 22 16
5 12 15 19 26 23
DV Sales-person A B C D E Assignment
1 = 1
2 = 1
3 = 1
4 = 1
5 = 1
Constraints
= = = = =
Region assigned 1 1 1 1 1
Objective Minimize Time