MAT540 Week 10 Homework Chapter 6

| August 30, 2017

Question
MAT540 Homework
Week 10
Page 1 of 2
MAT540
Week 10 Homework
Chapter 6
1. Consider the following transportation problem:
From
To (Cost)
Supply
1 2 3
A 6 5 5 150
B 11 8 9 85
C 4 10 7 125
Demand 70 100 80
Formulate this problem as a linear programming model and solve it by the using the computer.
2. Consider the following transportation problem:
From
To (Cost)
Supply
1 2 3
A 8 14 8 120
B 6 17 7 80
C 9 24 10 150
Demand 110 140 100
Solve it by using the computer.
3. World foods, Inc. imports food products such as meats, cheeses, and pastries to the United States
from warehouses at ports in Hamburg, Marseilles and Liverpool. Ships from these ports deliver the
products to Norfolk, New York and Savannah, where they are stored in company warehouses
before being shipped to distribution centers in Dallas, St. Louis and Chicago. The products are then
distributed to specialty foods stores and sold through catalogs. The shipping costs ($/1,000 lb.) from
the European ports to the U.S. cities and the available supplies (1000 lb.) at the European ports are
provided in the following table:
MAT540 Homework
Week 10
Page 2 of 2
From
To (Cost) Supply
4. Norfolk 5. New York 6. Savannah
1. Hamburg 320 280 555 75
2. Marseilles 410 470 365 85
3. Liverpool 550 355 525 40
The transportation costs ($/1000 lb.) from each U.S. city of the three distribution centers and the
demands (1000 lb.) at the distribution centers are as follows:
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
Demand 85 70 65
Determine the optimal shipments between the European ports and the warehouses and the
distribution centers to minimize total transportation costs.
4. The Omega Pharmaceutical firm has five salespersons, whom the firm wants to assign to five sales
regions. Given their various previous contacts, the sales persons are able to cover the regions in
different amounts of time. The amount of time (days) required by each salesperson to cover each
city is shown in the following table:
Salesperson
Region (days)
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
Which salesperson should be assigned to each region to minimize total time? Identify the optimal
assignments and compute total minimum time.

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