3. Utility maximization under constraint, substitution and income eect. CV and EV (20 points) Josh gets utility (satisfaction) from two goods. A and B . according to the utility function U(A, B) = 3M3 + 483]3 + 530. \"rhile Josh would like to consume as much as possible he is limited by his income. a. Maximize Josh's utility subject to the budget constraint using the Lagrangean method (10 points). b. Suppose PA increases. Show graphically the income. substitution eect and total effect and explain (5 points). c. Suppose PA increases. Show the graphs for CV and EU and explain. One graph for CV and one graph for EV (5 points)