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1. Alice's preferences over consumption (C) and leisure (L) is represented by u(C, L) = C + max{8L L 2 2 , 0} where C

1. Alice's preferences over consumption (C) and leisure (L) is represented by u(C, L) = C + max{8L L 2 2 , 0} where C 0 and 0 L 24.

(a) Are her preferences monotone? Are they strongly monotone? Explain briefly.

(b) Are her preferences convex? Are they strictly convex? Explain briefly. [Note: Drawing indifference curves might be helpful but not required].

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