Monthly milk purchases (in terms of bottles) of five clients across four brands are given in the below table. Bottles of Milk Purchased Pınar SEK Bizim Sütaş Total Customer A 10 5 0 15 30 Customer B 20 5 0 10 35 Customer C 5 10 20 5 40 Customer D 0 10 5 5 20 Customer E 5 15 5 20 45 Total 40 45 30 55 170 a) What is the total monthly category volume for milk? b) What is the aggregate Share of Category Requirement of Pinar for milk? c) What is the aggregate Share of Category Requirement of Bizim for milk? d) What is the aggregate Share of Category Requirement of Sütaş for milk? e) What is the individual Share of Cat. Requirement of Customer A from SEK for milk? f) What is the individual Share of Cat. Requirement of Customer D from Sütaş for milk? g) What is the individual Share of Cat. Requirement of Customer E from Pinar for milk? h) Which brands have Aggregate Share of Cat. Requirement equal to Market Share for milk? 11. Transition matrix for three car brands are given in the table below. Brand Purchased Next Time Likelihood to Buy (%) Audi BMW Mercedes Brand Audi 75% 15% 10% Currently BMW 20% 65% 15% Purchased Mercedes 5% 10% 85% a) What is the probability that an Audi owner will buy a Mercedes next time and turn back to Audi (after Mercedes)? b) What is the probability that a BMW owner will buy BMW's three times in a row without switching to other brands? c) What is the probability that a Mercedes owner will buy an Audi and then buy a BMW and turn back to Mercedes?