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.

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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 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.
 
 

 
 
 
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