2 individuals with identical utility functions defined on X private good ( movie tickets) and $ public good (schools) 5 - S, + 5, where S, is contribution of individual i. Utility of individual i is U. = 15 log (X ) + log (5, + 5,) with budget X, + 5, 40. What is the socially optimal quantity of schools? What is the number of schools if they are provided privately