Rachel Sundusky is a manager of the South-Atlantic office of theStateline Shipping and Transport Company. She is in theprocess of negotiating a new shipping contract with Polychem acompany that manufactures chemicals for industrial use. Polychemwants Stateline to pick up and transport waste products from itssix plants to three waste disposal sites. Rachel is veryconcerned about this proposed arrangement. The chemicalwastes that will be hauled can be hazardous to humans and theenvironment if the leak. In addition a number of towns andcommunities in the region where the plants are located prohibithazardous materials from being shipped through the municipallimits. Thus not only will the shipments have to be handledcarefully and transported at reduced speeds they will also have totraverse circuitous routes in many cases. Rachel has estimated thecost of shipping a barrel of waste from each of the six plants toeach of the three waste disposal sites as shown in the followingtable.