Suppose bundle A is better than bundle B for a consumer, and bundle C is an average of bundles A and B.
a.Use the continuity, convexity and monotonicity assumptions to formally prove that this implies that bundle C is better than bundle B.
b.Did you also -- implicitly or explicitly -- use the rationality axioms?

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The Answer of Suppose bundle A is better than bundle B for a consumer, and bundle C is an average of bundles A and B.
a.Use the continuity, convexity and monotonicity assumptions to formally prove that this implies that bundle C is better than bundle B.
b.Did you also -- implicitly or explicitly -- use the rationality axioms?

Suppose Bundle a Is Better Than Bundle B for a Consumer