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Consider the lexicographic preferences on apricots and bananas (a, b) E |R2+ given in class. 1. Prove that they are transitive. 2. Prove that they

Consider the lexicographic preferences on apricots and bananas (a, b) E |R2+ given in class. 1. Prove that they are transitive. 2. Prove that they cannot be represented by a continuous utility funcon u(a, b)

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