Math 2602 B1,B2                                                                             Homework  #11
                                           Due Thursday, April 7, 2005

    Suppose that in the Trusty Rent-A-Car example (Example 6 on page 418 - p.372 and p. 693 in the 2nd
    edition) 6/10 of the cars which start in NYC end up there (and 4/10 end up in LA), instead of 1/2 and 1/2
    (still with 2/3 of those which start in LA ending up there).

  i) How many cars are in NYC at the beginning of month n?  How many are in LA?

 ii)  What is the long-range behavior of this system?




  The remaining parts will not be graded, and are for discussion only.

  iii)  Repeat when 9/10 of the cars which start in NYC end up there.

  iv) Repeat when all of the cars which start in NYC end up there.