The town of Lexington purchases gasoline from three vendors to fuel its fleet of municipal vehicles. Eachvendor delivers gasoline in 6,000-gallon quantities. Since vendors must deliver the fuel, a transportation fee (based on the distance the vendor must travel) is added to each delivery. The number of deliveries required by each location, the cost of supplying a truckload of gasoline to each location from each vendor, and the number of truckloads each vendor can deliver are provided here:

Assuming that the price per gallon of fuel is the same for each vendor, develop a linear programming model that minimizes the total transportation fee that Lexington
must pay for supplying all of its facilities’ fuel needs.

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Public Deliveries Works (truckloads) Fire Police Bus Station Depot Garage Station Available $500 $525 $550 $600 Vendor A 20 $350 $425 $450 $575 Vendor B 14 $625 Vendor C $400 $375 $475 10 Deliveries 12 18 (truckloads) required