Suppose you want to write a program that will collect information on a customer$$s tastes and customize web content accordingly. By monitoring online shopping habits, you are able to collect a set of pairwise preferences on a set X of products. If x$,$ y in X are two different products, we say that x y if the customer prefers y over x$.($In order to satisfy the reflexive property, we stipulate that x x for all x in X$.)$ Suppose you know the following things about your customer.