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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

Suppose you want to write a program that will collect information on a customers 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.

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