PLEASE WORK ON A NEW ANSWER, VALUES ARE DIFFERENT FROM EXISTING ONES. DO NOT SPAM PLEASE

The following data consists of a matrix of transition probabilities (P) of three office locations (A,B,C) within a large company and how employees shift from one location to the other from year to year. The company CEO would like to understand the movement of employees over time and the long-run proportion of employees in each location. Assume that there is always a total of 5000 employees. A B C A [0.4 0.3 0.37 P= B 0.5 0.2 0.3 C[0.6 0.3 0.1) Te(0) = [1500, 1500, 2000) Required (Show all steps leading to your final solution): 1.1) Using the data above, how many employees do we expect in location A one year from now? 1.2) Using the data above, how many employees do we expect in location A two years from now? 1.3) Using the data above, how many employees do we expect in location B one year from now? 1.4) Using the data above, how many employees do we expect in location B two years from now? 1.5) Using the data above, what is the long run number of employees expected in location C