Kellwood, a company that produces a single product, has three plants and four customers. The three plants will produce 6,000, 4,000, and 5,000 units, respectively, during the next time period. Kellwood has made a commitment to sell 3,000 units to customer 1, 5,000 units to customer 2, and at least 2,000 units to customer 3. Both customers 3 and 4 also want to buy as many of the remaining units as possible. The profit associated with shipping a unit from each plant to each customer is given in the first picture. Determine how to maximize Kellwood's profit. If your answer is zero, enter "0".

Kellwood data Unit profits To Cust 1Cst 2Cust 3 Cust 4 $73 $66 $79 From Plant 1 Plant 2 Plant 3 $69 $66 $60 $62 $62 $78 $69 $56 $66 Shipments (units): Plant Customer 4