A national catalog and Internet retailer has three warehouses and three major distribution centers located around the country. Normally, items are shipped directly from the warehouses to the distribution centers; however, each of the distribution centers can also be used as an intermediate transshipment point. The transportation costs ($/unit) between warehouses and distribution centers, the supply at the warehouses (100 units), and the demand at the distribution centers (100 units) for a specific week are shown in the following table:

Determine the optimal shipments between warehouses and distribution centers to minimize total transportationcosts.

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Distribution Center Warehouse Supply S 11 10 100 $12 70 12 The transportation costs Sunit) between the distribution centers are Distribution Center Distribution Center $- $8 $3