Three distribution centers supply four retail stores with a

Three distribution centers supply four retail stores with a commodity. The supplies at the centers, the demands at the stores, and the shipping costs ($/unit) are as follows: All 225 units at Center 1 must be shipped. However, surplus units remaining at Center 2 may be sold at Center 2 for a profit of $25/unit, and surplus units at Center 3 may be sold for a profit of $27/unit for the first 30 sold and $23/unit for any sold over 30. Determine a minimal-cost shipping schedule that takes into account the gain from the sale of the surplus units.

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