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A soft drink manufacturing company has 3 factories set up one in each of the three cities - Orland, Tampa, and Port St. Lucie and it supplies the produced 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:
The factory at Orlando has a capacity of 14,000 units.
The factory at Tampa has a capacity of 25,000 units.
The factory at Port St. Lucie has a capacity of 23,000 units.
The requirements of the warehouses are:
Determine how much of the company's production should be shipped from each factory to each warehouse in order to minimize the total transportation cost?
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