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9. (JR 2.10) Hicks (A Revision of Demand Theory, 1956) offered the following example to demonstrate how the WARP can fail to result in transitive revealed preferences when there are more than two goods. The consumer chooses bundle x at prices p , t = 0, 1, 2, where po = (1, 1, 2), x0 - (5, 19, 9), pl = (1, 1, 1), x] = (12, 12, 12), p2 - (1, 2, 1), x2 = (27, 11, 1). (a) Show that these data satisfy the WARP. Do so by considering all possible pair-wise comparisons of the bundles and showing that, in each case, one bundle in the pair is (directly) revealed preferred to the other. (b) Find the intransitivety in the revealed preferences