Assume you are managing the company producing two different goods, for certainty, x and y. Market research conducted by the company has allowed to segment the customer population into 5 different groups. Each group is identified by specific preference over the bundles of goods consisting of x and y. Preference of representative consumer from customer segment i (i=1,2,3,4,5) is described by respective utility function U_i(x,y), x 0, y 0. The utility functions U_i(x,y), (i=1,2,3,4,5) look as follows:

\fParameter or variable price of 1: Market Total price of y demand for x by representative consumer demand for y by representative consumer income M size of group group demand for x group demand for v