Airme and Blight are the only two airlines allowed to operate on the same route. The market share of regular business travellers changes from month to month. Airme retains four-fifths of its customers whilst Blight retains only three-quarters of its customers.
(a) If At and Bt, denote the number of customers who fly Airme and Blight in month t explain why
(b) If the number of customers who fly Airme and Blight in the first month are 10 000 and 16 000, respectively use matrix multiplication to work out the number of people who fly Airme
(i) one month later;
(ii) three months later.
(c) If the number of customers flying on Airme and Blight in any month had been 7300 and 5400, respectively, work out how many people flew by each airline the previous month.
