Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 48

The National Western Railroad's rail network covers most of the U.S. West and Midwest. On a daily basis it sends empty freight cars from various locations in its rail network to its customers for their use. Sometimes there are not enough freight cars to meet customer demand. The transportation costs for shipping empty freight cars, shown as follows, are directly related to distance traveled and the number of rail centers that must handle the car movement.
Determine the number of empty freight cars that should be sent from each rail network location to customers to meet demand at the minimum total cost.