Show all work please.

Show all your work leading to the solutions. Work quickly but with care. Show essential steps and formulas for "partial credit," and please use answer spaces where provided. 1. The university has had steady enrollments over the past 5 years. The school has its bookstore, University Book Store, but there are also three private bookstores in town: Bill's Book Store, College Book Store, and Battle's Book Store. The university is concerned about the many students switching to one of the private stores. As a result, the university has decided to investigate the problem. The following matrix of transition probabilities was obtained: At present, each of the four bookstores has an equal share of the market. What will the market shares be for the next period? The market share for the second period if the transition probabilities are the same