Consider an economy with two commodities and two consumers. Preferences of con- sumer 1 are represented by utility u(x, x ) = (x) (x) whereas the preferences of consumer 2 are represented by utility u2(x, x) = (x) (x) Consumer 1's wealth is w and consumer 2's wealth is w2. The aggregate wealth is denoted by w. (a) Say as much as possible about the properties of the preferences of each consumer. If you claim that the preferences have a certain property, you have to prove that this is indeed the case (either mathematically or by clearly representing it in picture).