Each month U-Haul trucks are driven among the cities of Atlanta, St. Louis, and

QUESTION:

Each month U-Haul trucks are driven among the cities of Atlanta, St. Louis, and Poughkeepsie. 1/2 of the trucks in Atlanta remain there, while the remaining trucks are split evenly between St. Louis and Poughkeepsie. 1/3 of the trucks in St. Louis stay there, 1/2 go to Atlanta, and the remaining 1/6 venture to Poughkeepsie. And 1/5 of the trucks in Poughkeepsie remain there, 1/5 go to St. Louis, and 3/5 go to Atlanta. Show that the distribution of U-Haul trucks approaches a steady state, and find it.