Hello, I need help with this question as I am stuck with this problem? could someone assist me, please?

3.2 Four rst-year students i= 1, 4 are moving in together. Each of them has a weekly endowment of 25. They can spend this money for private consumption (Ci) or for some common activity or decorating their living room (9:). All four of them have identical utility functions given by U(c.-, G] = ci+ 0.56, where (3 measures their common activitieslrooms nanced by the sum of all individual contributions G = 2::19'\" a) Let's focus on one of the four students rst. Denote individual 1's budget con- straint and write out her utility function in terms of C1. 91. 92. 93. 94. a b) She maximizes her utility by splitting the endowment between c1 and 91 subject to the budget constraint. What is her optimal allocation in terms of cl and 91? What would be the optimal allocation for any other individual i? i c) What is the social welfare maximizing outcome when using a Utilitarian social welfare function (W = 2.11 U(ci. GD? Discuss how you arrived at this result. 15 the outcome that maximizes social welfare Pareto efcient? If no, why not? If yes, are there other Pareto efficient outcomes