Question
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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