Can you explain the steps for each if possible.

1. Use the following two-good utility functions to answer parts a) through d). (1) U(x, y) = 3x+y (2) U(x, y) = xzy (3) U(x, y) = yVx (4) U(x, y) = min {x, y} a) Graph indifference curves for U. = 3 and U. = 6 for each of the above utility functions. Label each indifference curve with the utility it provides. To avoid confusion, draw a new xy-plane for each utility function. b) Starting at (x = 1, y = 1), find the marginal utility of good x for each of the above utility functions. c) Find the marginal rate of substitution of utility function (1). d) Which utility functions from (1) to (4) show a preference for variety