4 . The University of South Wisconsin has had steady enrollments over the past five years . The schoo has its own bookstore , called 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 large number of students who are switching to one of the private stores As a result , South Wisconsin's president , Andy Lange , has decided to give a student three hours of university credit to look into the problem . The following matrix of transition probabilities was obtained : UNIVERSITY BILL'S COLLEGE BATTLE'S UNIVERSITY 0. 6 0. 2 ON O. BILL'S 9.] 0. 2 O. 1 COLLEGE 01 18 BATTLE'S 0.05 905 a 0.8 At the present time , each of the four bookstores has an equal share of the market . What will the market shares be for the next period