1. (18 points) For each of the following situations, i) Find the Marginal Rate of Substitution at the given bundle, and ii) use a graph toindicate the given bundle,andaccurately draw the indifference curvethat goes through that bundle.Be sure to label you graph carefully and accurately.In all cases put the amount of good X on the horizontal axis, and the amount of good Y on the vertical axis.

a) The consumers utility function is given by U(X,Y) = X^1/2*Y^1/2, and the given bundle is X = 4 and Y = 9.

i) MRS = __________________________________________________

ii) For this graph, scale each axis up to 36.Do not go above 36 on either axis.Draw your graph in this space:

b) The consumers utility function is given by U(X,Y) = MIN(3X, Y), and the given bundle is X = 5 and Y = 6.

i) MRS = __________________________________________________

ii) Draw your graph in this space:

c) The consumers utility function is given by U(X,Y) = 3X + 2Y and the given bundle is X = 4 and Y = 3.

i) MRS = __________________________________________________

ii) Draw your graph in this space:

please show work if you can