A retailer stocks three brands of washing powder Toss, Omo and Ariel. A survey is taken of 5000 people who purchase washing powder weekly from this retailer. Each week, Toss loses 14% of its customers to Omo and 22% to Ariel. Omo loses 18% of its customers to Toss and 15% of its customers to Ariel and Ariel loses 27% of its customers to Toss and 13% to Omo.

(i) Suppose that this week 1,800 people buy Toss, 2,100 buy Omo and 2,500 people buy Ariel. How many people will buy Ariel in two weeks?

[3 marks]

(ii) How many people will buy each brand in the long run?