QUESTION 30 A company is considering using the Markov Process to analyze brand switching between four different brands of breakfast cereal (brands A, B, C, and D). An analysis of data has produced the transition matrix shown below for the probability of switching each week between brands. To Brand A B D From Brand A 0.50 0.20 0.30 0.00 B 0.00 0.40 0.40 0.20 C 0.70 0.00 0.30 0.00 D 0.80 0.10 0.00 0.10 Calculations must be accurate to the nearest four decimal places (e.g. 0.3528 or 35.28%). Please use the above data to answer questions 30 & 31. What will be the market shares in week 3 if the current (week 1) market shares for the four brands are 20%, 30%, 15%, and 35% for brands A, B, C, and Drespectively? O A. (0.4879 0.1689 0.3056 0.0375] O B. [0.4850 0.1950 0.2250 0.0950] O C. (0.4760 0.1845 0.2910 0.0485] O D.[0.2000 0.3000 0.1500 0.3500] O E. (0.4600 0.1800 0.3200 0.0400) QUESTION 31 What is the long-run prediction for the market shares for each of the four brands? (Calculations must be accurate to the nearest four decimal places (e.g. 0.3528 or 35.28%).) O A. [0.2000 0.3000 0.1500 0.3500] O B. (0.4879 0.1689 0.3056 0.0375] O C. (0.4760 0.1845 0.2910 0.0485] O D.[0.4600 0.1800 0.3200 0.0400] O E. [0.4850 0.1950 0.2250 0.0950]