As county engineer, it is your responsibility to design a master plan for refuse disposal for a 4-city area.

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.