In many textbooks (including Varian) it is assumed that the pref- erence relation for a rational consumer satis…es the following three conditions:  Complete. For all x; y , either x 〉=y or y 〉=x (or both).  Re‡exive. For all x ; x 〉=x.  Transitive. For all x; y; z , if x 〉=y and y 〉=z then x 〉= z. (c) Show, by construction, that if 〉=satisfies the three conditions above then 〉= can be represented by some utility function