Public Deliveries Police Fire Bus Works (truckloads) Station Station Depot Garage available Vendor A $500 $525 $550 $600 20 Vendor B $350 $425 $450 $575 14 Vendor C $400 $375 $625 $475 10 Deliveries 12 2 18 6 (truckloads) required
The town of Lexington purchases gasoline from three
vendors to fuel its fleet of municipal vehicles. Each vendor
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 below: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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