A sports apparel company has received an order for a college basketball team's national championship T-shirt. The company can purchase the T-shirts from textile factories in Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in the United States that silk-screen the shirts before they are shipped to distribution centers. Following are the productionand transportation costs ($/shirt) from the T-shirt factories to the silk-screen companies to the distribution centers, plus the supply of T-shirts at the factories and demand for the shirts at the distribution centers:

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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A sports apparel company has received an order for a college basketball team's national
championship T-shirt. The company can purchase the T-shirts from textile factories in Mexico,
Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in the United States
that silk-screen the shirts before they are shipped to distribution centers. Following are the
productionand transportation costs (S/shirt) from the T-shirt factories to the silk-screen companies
to the distribution centers, plus the supply of T-shirts at the factories and demand for the shirts at
the distribution centers:
Silk-Screen Company
T-shirt Factory
4. Miami
5. Atlanta
6. Houston
Supply (1,000s)
1.Mexico
$4
$6
$3
18
2.Puerto Rico
3
5
5
15
3. Haiti
2
4
4
23
Distribution Center
Silk-Screen
Company
7. New York
8. St. Louis
9. Los Angeles
$ 9
10
4. Miami
$5
$7
5.Atlanta
7
6. Houston
8
6.
8
Demand (1,000s)
20
12
20
Determine the optimal shipments to minimize total production and transportation costs for the
apparel company.
Transcribed Image Text:A sports apparel company has received an order for a college basketball team's national championship T-shirt. The company can purchase the T-shirts from textile factories in Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in the United States that silk-screen the shirts before they are shipped to distribution centers. Following are the productionand transportation costs (S/shirt) from the T-shirt factories to the silk-screen companies to the distribution centers, plus the supply of T-shirts at the factories and demand for the shirts at the distribution centers: Silk-Screen Company T-shirt Factory 4. Miami 5. Atlanta 6. Houston Supply (1,000s) 1.Mexico $4 $6 $3 18 2.Puerto Rico 3 5 5 15 3. Haiti 2 4 4 23 Distribution Center Silk-Screen Company 7. New York 8. St. Louis 9. Los Angeles $ 9 10 4. Miami $5 $7 5.Atlanta 7 6. Houston 8 6. 8 Demand (1,000s) 20 12 20 Determine the optimal shipments to minimize total production and transportation costs for the apparel company.
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