pls answer the question below. would be much appreciated. thanks!

1. Consider the following utility functions: (i) U(x,y) : 6xy, MUx : 6y and MU}, : 6x .. 1 1 (n) U(x,y) : (1/5)xy, MUx : E}! and MU), : Ex (iii) U(x,y) : (2x302, MUI : 8x322 and MU), : 8x231 For each of these utility functions, a. What is the equation of the indifference curves? b. Compute the NERS. c. Do these tastes have diminishing marginal rates of substitution? Are they convex? d. Construct an indifference curve for each of these functions for utility numbers U1 = 10 , U2: 100 , U3 = 200 . e. Do these utility functions represent different preferencel orderings