In an office complex of 1000 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 95% chance that she will be at work tomorrow, and if the employee is absent today, there is a 60% chance that she will be absent tomorrow. Suppose that today there are 710 employees at work. A graphing calculator is recommended. (a) Find the transition matrix A for this scenario.
at work absent
A =
(b) Predict the number that will be at work five days from now. (Round your answer to the nearest integer.)
employees
(c) Find the steady-state vector x. (Round your answer to two decimal places.)