Microeconomics

2. (15 pts) Consider a two-commodity, X and Y, universe. Are preferences represented by the following utility functions monotonic? Explain (prove) only if your answer is NO. (a) U (y) 1+4)+2) (b) U (r, ) = min{2x - 4,2 - T} (c) U (3, ) = (-2)(y-2)