A car rental agency in a major city has a total of 4500 cars that it...

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A car rental agency in a major city has a total of 4500 carsthat it rents from three locations: Metropolis Airport, downtown,and the smaller City Airport. Some weekly rental and returnpatterns are shown in the table (note that Airport means MetropolisAirport).

Rented from
Returned toAPDTCA
Airport(AP)90%10%10%
Downtown (DT)5%80%5%


At the beginning of a week, how many cars should be at eachlocation so that the same number of cars will be there at the endof the week (and hence at the start of the next week)?

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