A company has three manufacturing plants (in Atlanta, Tulsa, and Springfield) that produce a product that is then shipped to one of four distribution centers

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A company has three manufacturing plants (in Atlanta, Tulsa, and Springfield) that produce a product that is then shipped to one of four distribution centers. The three plants can produce 13, 18, and 12 truckloads of product each week, respectively. Each distribution center needs 10 truckloads of product each week. The shipping costs per truckload between the plants and distribution centers are given in the table. The company needs to determine how much to ship from each plant to each distribution center and would like to minimize total shipping costs.

 

Distribution Center

Plant A B C D

Atlanta $800 $1,300 $400 $700

Tulsa $1,100 $1,400 $600 $1,000

Springfield $600 $1,200 $800 $900

 

4) To accomplish the minimum total shipping cost, which plant(s) produce(s) maximum amounts?

Select one or more:

A. Atlanta

B. Tulsa

C. Springfield

 

5) To which distribution center(s) does Springfield plant have to send the products in order to keep the total shipping cost of the company minimum?

 

Select one or more:

A. Distribution Center B

B. Distribution Center D

C. Distribution Center A

D. Distribution Center C