As county engineer, it is your responsibility to design a master plan for refuse
disposal for a 4-city area. All waste is delivered to one of two transfer stations where it is
compacted and placed into large transport vehicles for shipment to one of three landfills.
Each transfer station can process 700 tons of refuse daily, and the capacities of the three
landfills are 500, 420, and 600 tons of waste per day, respectively. All shipping costs are
directly proportional to the travel distances shown in the table below, but shipments from
the transfer stations are 50% lower per mile than are those by the route trucks that
transport refuse directly from cities to transfer stations. For example, a unit of refuse
transported by a truck from Pleasantville to Transfer Station 1 travels a distance of 45
miles. If that unit of refuse is the transported to Landfill # 3, it will be moved another 146
miles but at a 50% lower transport cost. Formulate and solve a linear program (use Lindo
or MatLab or any optimization software) that will help you plan a policy for managing
the disposal operation at least cost.