. Suppose you're headed on a vacation, and are beginning to pack. In particular, consider your decision about how much shampoo (11:) and conditioner (y) to pack. Your utility is u{.r,y) = min{m,3y}. In order to save money, you've decided to not check a bag, so the amounts of :1: and 3,; you take are limited by security regulations. Let the prices be pm 2 5, 13.5, = 10, and let your income be M = 200. Additionally, let the amount of liquids you're allowed to take on the plane be L = 33 ounces. A bottle of shampoo takes up 3 ounces, and a bottle of conditioner takes up 2 ounces. How many bottles of shampoo and conditioner will you take with you? (You can assume that it is possible to take a fraction of a bottle.)