1. You are an HR manager of Chern's department store, and are trying to forecast the number of its full-time sales associates (FTSA) for your flagship store in NJ next year. To that end, you are performing a transition analysis based on the probability matrix below. The probabilities are based on annual rates that are averaged over the span of past five years. If your staffing goal is to maintain the current number of FTSA (i.e., 140), how many would you need to hire in order to avoid talent shortage next year? Show your calculation process and round up all fractions to ensure to have a sufficient number of FTSA. (10 pt) Job Category Full-Time Sales Associates (FTSA) Part-Time Sales Associates (PTSA) Department Manager (DEP) Buyers (BUY) Merchandising Managers (MER) FTSA PTSA DEP BUY MER Exit (%) (%) (%) 50 30 5 10 O 0 15 15 50 10 0 10 0 75 10 10 * 5 5 0 65 0 (%) (%) 5 0 0 5 80 20 15 Current # of Employees 140 30 20 16 30 5 20 8 co