Question: 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
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.
| Plant | Capacity (Cases/week) | Warehouse | Demand (Cases/week) |
| Milwaukee | 9,000 | Denver | 9,000 |
| Chicago | 7,000 | Lincoln | 7,000 |
| Toledo | 8,000 | Pittsburgh | 6,000 |
| Nashville | 5,000 | Atlanta | 8,000 |
|
| 29,000 |
| 30,000 |
|
| Processing & Shipping Cost per case | |||
| Plant | Denver | Lincoln | Pittsburgh | Atlanta |
| Milwaukee | $4.00 | $3.00 | $7.00 | $12.00 |
| Chicago | $5.00 | $4.00 | $5.00 | $10.00 |
| Toledo | $10.00 | $8.00 | $2.00 | $7.00 |
| Nashville | $11.00 | $8.00 | $4.00 | $5.00 |
Determine how many cases should be shipped from each processing plant to each warehouse to minimize the total processing and shipping costs.
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