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7. (10 points) If one commodity is a good and one commodity is a bad, can preferences over bundles of both commodities still be convex?

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7. (10 points) If one commodity is a good and one commodity is a bad, can preferences over bundles of both commodities still be convex? (Answer \"Yes\" or \"No\"). (Hint: Convex preferences imply that \"average\" bundles are preferred to \"extreme\" bundles)

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