3.5 please

a- 3.4. Consider the utility function U(z,y) = y+/= with the marginal utilities MU, = y/(2v/z) and MU, = /z a. Does the consumer believe that more is better for each good? b. Do the consumer's preferences exhibit a diminishing marginal utility of x? Is the marginal utility of y diminishing? 3.5. Carlos has a utility function that depends on the number of musicals and the number of operas seen each month. His utility function is given by U = xy?, where x is the number of movies seen per month and y is the number of operas seen per month. The corresponding marginal utilities are given by: MU, = y? and M Uy = 2xy. a. Does Carlos believe that more is better for each good? b. Does Carlos have a diminishing marginal utility for each good? & 1 ~.n = * ~ 1 1. . 5 ALrr rT 1rr a1 FT L rT 1 1