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. Completeness: for any two bundles x and y, either x z y, or y z x, or both must be true. Ensures that any

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. Completeness: for any two bundles x and y, either x z y, or y z x, or both must be true. Ensures that any two bundles can be compared. . Transitivity: for any three bundles x, y and z, if x z y and y z z, then x Z z.Preferences 1. A consumer's preferences for bundles in R3. are comglete and transitive. Suppose we additionally know the following information (1. 2) i (3. 0) (2,3) 2: (3,2) (3,2) 2: (2,3) (1, 2) 2: (3,2) Note: a? stands for "M at least as good as.\" So here, it is NOT the case that (1. 2) z (3, D). a. Which of the following statements can be concluded based on what we know? In each case explain why or why not. i. (3,0) t (1,2) ii. (3,0) : (3, 2) iii. (3,n)~(2, 3)

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