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For each of the following utility functions (a-d), answer the following questions (i-iv) i) Calculate MUz and MUy ii) Do the consumer s preferences exhibit a diminishing marginal utility for each good? iii) Calculate MRSa,y iv) Do the consumers preferences exhibit a diminishing marginal rate of substitution of x? (al U (x,y) = 3x2/5y3/5 (b) (x,y)= 2x2/3+y (c) (x,y)= 12x3/2y1/2 3

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(스 31ター MX 리厂 25 Y Muce Mu MUY 615 (ฯ 35 /15 Sine Mls 3 .3 1s MRS 3 3 ( 文 X.乙 M RSリし -E Muy g, nc J YMH iん 쳐貝.3 ^ -3//- dxMus-4 NRS 4x 12Y d乂 ax

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