Assume you are managing the company producing two different goods X and Y. There are 5 different consumer segments on the market. Each group is identified by specific preference over the bundles of goods consisting of X and Y. Preferences of representative consumer from customer segment i (i = 1, 2, 3, 4, 5) is described be respective utility function Ui (X,Y), x >= 0, y>=0. The utility functions Ui(x,y) looks as follows: