A car rental agency in a major city has a total of 3000 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport). Rented from
Returned to AP DT CA
Airport (AP) 90% 10% 10%
Downtown (DT) 5% 80% 5%
At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)?
AP = cars
DT = cars
CA = cars