Suppose that a restaurant offers two appetizers (tomato soup and chicken soup) and two entres (vegetarian and meet). Moreover, suppose that you can choose at most one option from each of the two categories.

Then:

(1) What is the menu of this restaurant?

(2) Define your own rational preference relations, R, over this menu, as you want.

(3) Provide a utility representation of your own rational preference relations R.

(4) Then, specify what option you would choose.