could you please help me with this question?

5.- Your utility function regarding good x and y is given by: U ( X , Y ) = XY2 The marginal utility of X is Y2 and the marginal utility of Y is 2XY. Additionally, you know that px = 2, py = 1, and your income is $12. a) (3 Points) Mathematically find the optimal bundle of good X and Y.b) (2 Points) Due to inflation, the new price of Y is 2. Mathematically derive the new optimal bundle.c) (4 Points) Describe graphically the substitution and income effects of the price increase of Y (graph the good Y on the yaxis and the good X on the xaxis)