Bavarian Motor Company (BMC) manufacturers cars and SUVs in Europe and ships them to distributors in the U.S. Presently, BMC has an inventory of 200 cars and 140 SUVs in Newark, NJ and 300 cars and 180 SUVs in Jacksonville, FL. These vehicles need to be transported by rail to meet the demand for BMC distributors in the cities summarized in the following table:

Columbus........................60........................40
Richmond........................80........................55
Atlanta...........................170........................95
Mobile.............................70........................50
BMC rents rail cars to move its inventory of vehicles between these cities. Each rail car can hold up to 12 vehicles and are readily available in any quantity needed. The cost of renting a rail car and having it moved among these cities is summarized in Figure 6.41.
a. Formulate an ILP model for this problem.
b. What is the optimal solution?

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Vehicles Needed Cars SUVs Ciig Boston 100 75 Boston $1,080 $980 Newark Columbus 930 Richmond 5860 Atlanta $1.110 貔ill Mobile $1,220 J'ville