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A soft drink manufacturing company has 3 factoriesone in Orlando, one in Tampa, and one in Port St. Luciewhich supply soft drink bottles to 3

A soft drink manufacturing company has 3 factoriesone in Orlando, one in Tampa, and one in Port St. Luciewhich supply soft drink bottles to 3 warehouses located in the city of Miami. The associated per-unit transportation cost between the factories and the warehouses is provided in the table below.

Transportation Costs of Factories ($)

Factories/Warehouses

W1

W2

W3

Orlando

7

4

5

Tampa

7

6

4

Port St. Lucie

5

5

6

The factory in Orlando has a capacity of 14,000 units. The factory in Tampa has a capacity of 25,000 units. The factory in Port St. Lucie has a capacity of 23,000 units. The requirements of the warehouses are:

Warehouse

Requirement (Bottles)

W1

18,000

W2

19,000

W3

22,000

Determine how much of the companys production should be shipped from each factory to each warehouse in order to minimize the total transportation cost?

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