A commercial bakery in Dubai has three production lines that supply baked goods to four stores. The cost of shipment from each production line to each store (in AED per 1,000 pieces) is shown in the table below. How many units should be shipped from each production line to each store so that total transportation costs are minimized?

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FROM Prod. Line 1 Prod. Line 2 Prod. Line 3 Demand TO STORE 1 STORE 2 STORE 3 STORE 4 SUPPLY 10,000 20,000 15,000 45,000 4 6 3 5,000 7 4 6 10,000 5 52 2 4 15,000 Min 3 5 3 15,000