can I get help in this please. a detailed answer with proper explanations

1. Alice's preferences over consumption (0) and leisure (L) is represented by 2 u(C, L) = 0 + max{8L L3 0} WhereCZOandOSLgM. (a) Are her preferences monotone? Are they strongly monotone? Explain briey. (b) Are her preferences convex? Are they strictly convex? Explain briey. [Note: Drawing indifference curves might be helpful but not required]