2. The Roadnet Transport 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 Winnipeg, Regina and Calgary. The company makes shipments from each of these warehouses to terminals in Vancouver, Toronto and Montreal. Each truck is capable of making one shipment per week. The terminal managers have each indicated their capacity for extra shipments. The manager at Vancouver can accommodate 40 additional trucks per week, the manager at Toronto can accommodate 60 additional trucks, and manager at Montreal can accommodate 50 additional trucks. The company makes the following profit per truckload shipment from each warehouse to each terminal. The profits differ as a result of differences in products shipped, shipping costs, and transport rates. Terminal Warehouse Vancouver Toronto Montreal Winnipeg $1,800 $2,100 $1,600 Regina $1,000 $700 $900 Calgary $1,400 $800 $2,200 The company wants to know how many trucks to assign to each route (ie, from warehouse to terminal) to maximize profit. Formulate a linear programming model for this problem.