Suntrek in Problem 26 ships the cotton it has purchased from the U.S. ports to overseas ports in Shanghai, Karachi, and Saigon, where its denim fabric factories are also located. The shipping and handling costs per bale of cotton from each U.S. port to each of Suntrek's overseas factories and the demand at these factories are as follows:

Determine the optimal shipments that will result in the minimum total shipping cost.

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Ports/Denim Fabric Plants Ports Houston Savannah New Orleans Charlestorn Demand (bales) ShanghaiKarachiSaigon $23 28 26 29 34,000 $28 24 26 23 $30 32 27 34 22,000 15,000