decision variable, objective, contstraints, variable restriction

Formulate, BUT DON'T SOLVE, an LP model for the following story problem. Decision variables should be clearly stated in plain English. Winter is coming, and Hertz Rent-A-Car needs to reposition its rental cars from cities in the northern USA to cities in the southern USA to increase its ability to meet customer demand. Currently there are surpluses of 70 cars in Chicago and 20 cars in Minneapolis, and there are deficits of 10 cars in Kansas City, 60 cars in New Orleans, and 20 cars in Dallas. The diagram below depicts the road network connecting these cities. The diagram shows the cost of transporting one car, and the maximum number of cars (if any) that can be transported, along each road segment. What is the most economical plan for repositioning the rental cars? Assume all cars are identical. 70 cars 60 cars on hand needed Chicago $200/car $700/car St. New 40 cars max. Louis 50 cars max. Orleans S100/car 50 cars max S500/car 10 cars max S100/car $600/car 50 cars max S400/car $800/car Dallas $300/car Kansas City Minne- apolis 20 cars 20 cars on hand 10 cars needed needed Formulate, BUT DON'T SOLVE, an LP model for the following story problem. Decision variables should be clearly stated in plain English. Winter is coming, and Hertz Rent-A-Car needs to reposition its rental cars from cities in the northern USA to cities in the southern USA to increase its ability to meet customer demand. Currently there are surpluses of 70 cars in Chicago and 20 cars in Minneapolis, and there are deficits of 10 cars in Kansas City, 60 cars in New Orleans, and 20 cars in Dallas. The diagram below depicts the road network connecting these cities. The diagram shows the cost of transporting one car, and the maximum number of cars (if any) that can be transported, along each road segment. What is the most economical plan for repositioning the rental cars? Assume all cars are identical. 70 cars 60 cars on hand needed Chicago $200/car $700/car St. New 40 cars max. Louis 50 cars max. Orleans S100/car 50 cars max S500/car 10 cars max S100/car $600/car 50 cars max S400/car $800/car Dallas $300/car Kansas City Minne- apolis 20 cars 20 cars on hand 10 cars needed needed