Question: 6. (bonus question, 15 points) To test for convex preferences, the following theorem is useful. Theorem. A twice-differentiable utility function U(X.X) represents convex preferences if

6. (bonus question, 15 points) To test for convex preferences, the

6. (bonus question, 15 points) To test for convex preferences, the following theorem is useful. Theorem. A twice-differentiable utility function U(X.X) represents convex preferences if and only if (1) U U-2UUU+UU

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