Three retail stores are competing for the same market in your neighborhood. Pick n Pay has 40% of the market while Shoprite and Woolworths each have 30% of the market. Pick n Pay loses 10% of its customers to Shoprite and 10% to Woolworths each month. Shoprite loses 5% of its customers to Pick n Pay and 10% to Woolworths each month. Woolworths loses 10% of its customers to Pick n Pay while 20% go to Shoprite. a) Set up the matrix transitional probability of this problem. b) What will the market shares be for the three businesses next month? c) Find the equilibrium condition of this market