Question: Kos Farms processes organic heirloom vegetables from its four processing plants where the vegetables are cleaned and packaged to its four warehouses. The following two

Kos Farms processes organic heirloom vegetables from its four processing plants where the vegetables are cleaned and packaged to its four warehouses. The following two tables show the capacities, forecasted demand, and processing and shipping costs.

Kos Farms processes organic heirloom vegetables

Determine how many cases should be shipped from each processing plant to each warehouse to minimize the total processing and shipping costs.

Plant Milwaukee Chicago Toledo Nashville Capacity (Cases/week) 9,000 7,000 8,000 5,000 29,000 Warehouse Denver Lincoln Pittsburgh Atlanta Demand (Cases/week) 9,000 7,000 6,000 8,000 30,000 Plant Milwaukee Chicago Toledo Nashville Denver $4.00 $5.00 $10.00 $11.00 Processing & Shipping Cost per Case Lincoln Pittsburgh $3.00 $7.00 $4.00 $5.00 $8.00 $2.00 $8.00 $4.00 Atlanta $12.00 $10.00 $7.00 $5.00

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