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 production and 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: Silk-Screen Company T-shirt factory T-shirt factory 4. Miami 5. Atlanta 6. Houston Supply(1,000 lbs.) 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 4. Miami $5 $7 $9 5. Atlanta $7 $6 $10 6. Houston $8 $6 $8 Demand (1,000) 20 12 20 Formulate this problem in Excel and determine the optimal shipments to minimize total production and shipping costs for the apparel company.
A sports apparel company has received an order for a college basketball team’s national championship T-shirt. The company can purchase the T-shirts from textile factories in Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in the United States that silk-screen the shirts before they are shipped to distribution centers. Following are the production and transportation costs ($/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: Silk-Screen Company T-shirt factory T-shirt factory 4. Miami 5. Atlanta 6. Houston Supply(1,000 lbs.) 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 4. Miami $5 $7 $9 5. Atlanta $7 $6 $10 6. Houston $8 $6 $8 Demand (1,000) 20 12 20 Formulate this problem in Excel and determine the optimal shipments to minimize total production and shipping costs for the apparel company.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 47P
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Question
A sports apparel company has received an order for a college basketball team’s
national championship T-shirt. The company can purchase the T-shirts from textile factories
in Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies in
the United States that silk-screen the shirts before they are shipped to distribution centers.
Following are the production and transportation costs ($/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:
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 production and 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:
Silk-Screen Company
T-shirt factory
T-shirt factory
T-shirt factory 4. Miami 5. Atlanta 6. Houston Supply(1,000 lbs.)
1. Mexico $4 $6 $3 18
2. Puerto Rico $3 $5 $5 15
3. Haiti $2 $4 $4 23
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
4. Miami $5 $7 $9
5. Atlanta $7 $6 $10
6. Houston $8 $6 $8
Demand (1,000) 20 12 20
Formulate this problem in Excel and determine the optimal shipments to minimize total
production and shipping costs for the apparel company.
Silk-Screen
Company 7. New York 8. St. Louis 9. Los Angeles
4. Miami $5 $7 $9
5. Atlanta $7 $6 $10
6. Houston $8 $6 $8
Demand (1,000) 20 12 20
Formulate this problem in Excel and determine the optimal shipments to minimize total
production and shipping costs for the apparel company.
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