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Alice strictly prefers bundle (I, y) E R1 to bundle (CLJ, y') E R1 if and only if yil > ylg she is indifferent between two bundles if and only if i = 33%. (a) Are Alice's preferences monotone? If you answer yes, provide a proof; if you answer no, give an example. (b) Are Alice's preferences G-continuous? If you answer yes, provide a proof; if you answer no, give an example. (c) Can Alice's preferences be represented by a utility function? o If you answer yes, give an example of a utility function u(-)) that represents these preferences such that u(1, 1) = 1. o If you answer no, explain why