(5 points) You are working for a small airline with a fleet of 100 planes, which operates weekly flights between 4 citie

[answerhappygod]

(5 points) You are working for a small airline with a fleet of
100 planes, which operates
weekly flights between 4 cities: Stockton, Las Vegas, Albuquerque,
and Denver. Based
on customer demand, the percentages of flights out of each city are
given in the columns
of the following table
1
Stockton Las Vegas Albuquerque Denver
Stockton 0 .25 .3 .1
Las Vegas .5 0 .3 .2
Albuquerque .3 .3 0 .7
Denver .2 .45 .4 0
For example, the second entry in the first row means that 25% of
the flights out of Las
Vegas go to Stockton.
(a) Suppose you start out with 25 airplanes in each of the 4
cities. How many airplanes
are in each city after 1 week? after 2 weeks? after 5 weeks? (You
may need to
round off.)
(b) Determine how many airplanes should be kept in each of the 4
cities. Justify your
answer