The Roadnet Shipping Company has expanded its shipping capacity by purchasing 90 trailer trucks from a competitor that went bankrupt. The company subsequently located 30 of the purchased trucks at each of its shipping warehouses in Charlotte, Memphis, and Louisville. The company makes shipments from each of these warehouses to terminals in St. Louis, Atlanta, and New York. Each truck is capable of making one shipment per week. The terminal managers have each indicated their capacity for extra shipments. The manager at St. Louis can accommodate 30 additional trucks per week, the manager at Atlanta can accommodate 50 additional trucks, and the manager at New York can accommodate 40 additional trucks. The company makes the following profit per truck load shipment from each warehouse to each terminal. The profits differ as a result of differences in products shipped, shipping costs, and transport rates.

Determine how many trucks to assign to each route (i.e., warehouse to terminal) to maximizeprofit.

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Terminal Atlanta New York $2100 Warehouse Charlotte Memphis Louisville St. Louis $1800 1000 1400 $1600 900 2200 700 800