A car rental company has rental offices at both Kennedy and LaGuardia airports. Assume that a car rented at one airport must be returned to one of the two airports. If the car was rented at LaGuardia the probability that it will be returned there is 0.8; for Kennedy the probability is 0.7. Suppose that we start with 1/2 of the cars at each airport and that each week all of the cars are rented once.

(a) What is the fraction of cars at LaGuardia Airport at the end of the first week?

(b) At the end of the second?

(c) In the long run?