Juan has a utility of the form Cobb Douglas (, ) = ^1/21/2 . If your income per month are $600 and the prices of the products he consumes are = 10 and = 15.

a) Determine the optimal quantities of product x and product y. Perform a graphical analysis of the solution. b) What happens with the solution to the exercise if = 10. Perform a graphical analysis of the situation. c) What happens with the solution to the exercise if = 20. Perform a graphical analysis of the situation.