2)Homothetic Preferences(MWG Definition 3. B6 )A monotone preference relation on X=Rl is homothetic if x-y then ax~ ay for any a≥0 (Parallel indifference curves)-homothetic preferences can be represented by a utili ity function u(x) that is homogeneous of degree one, i. e au(x=u(ax) for all positive a Does that mean that utility functions that are not homogeneous of degree one cant be homothetic?(2) Homothetic Preferences (MWG Definition 3.B.6) A monotone preference relation on X   L is homothetic if x  y then x  y for any   0. (Parallel indifference curves)– homothetic preferences can be represented by a utility function ux that is homogeneous of degree one, i.e. ux  ux for all positive . Does that mean that utility functions that are not homogeneous of degree one can’t be homothetic?