Modeling and Computer solutions as well. (Transportations; Transshipment; Assignment) Linear Programming

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hw10.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 <= 150
B 0 <= 85
C 0 <= 125
Constraint 0.00 0.00 0.00
= = =
Demand 70 100 80
Objective Minimize Cost $0.00

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 = 120
B 0 = 80
C 0 = 150
Constraint 0.00 0.00 0.00
= = =
Demand 110 140 100
Objective Minimize Cost 0

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
2. Marseilles 0.00 = 85
3. Liverpool 0.00 = 40
Warehouse Distribution Center
7. Dallas 8. St. Louis 9. Chicago Constraints Net Flow (distribution center)
4. Norfolk 0.00 = 0.00
5. New York 0.00 = 0.00
6. Savannah 0.00 = 0.00
Constraints 0 0 0
<= <= <=
Demand 85 70 65
220 200
Objective Minimize Cost $0

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