please solve all questions. Thanks

1. Alice has convex preferences over consumption bundles containing goods .1: and 3;. Where (112, y) is the consumption bundle, Alice's preferences are as follows: (5, 2) ~ (47 2) F (3, 2) ~ (3, 5) ~ [3: 5) (21) Write a. utility function that can represent Alice's preferences. (Hint: ny one of the 'types' of utility functions we have seen in lecture) (b) Write another one. (c) Are Alice's preferences strictly convex? Explain in one sentence. ((1) Suppose Alice's income is 20, and while the bundle (5, 2) is affordable, the bundle (3, 5) is not. This means that g: <