Hello, I need to use matrices in order to solve this problem but I am having a hard time getting started with the problem. I just need a little push to nudge me in the right direction. Please help. Thank You.

Question

You have been hired as a consultant for Crazy Al’s Car Rentals, a new car rental agency in the city of Metropolis. Crazy Al’s Car Rentals has a total of 2500 cars that it rents from three locations within the city: Metropolis Airport, downtown, and Suburban Airport on the outskirts of the city limits.

Your research has shown the following weekly rental and return patterns:

• 17/20 of customers who rent from A return their cars to A

• 1/10 of customers who rent from A return their cars to B

• 4/5 of customers who rent from B return their cars to B

• 1/10 of customers who rent from B return their cars to A

• 1/10 of customers who rent from C return their cars to A

• 1/20 of customers who rent from C return their cars to B

Crazy Al, the owner of Crazy Al’s Car Rentals, has hired you to determine how many of his cars should be at each of his three locations at the start of each week so that the same number of cars will be there at the end of the week (and hence at the start of the next week).