In a country there are 4 types of individuals The utility function of the rim type is given by: U, (:35,- .G:) = 3:,- l i +1116; i = 1,2, 3.4 where, x,- denotes the private good consumed by each citizen and G denotes the public good. The first type has 2 individuals, the second type has 3 individuals, the third and the fourth type have 2 individuals each. The marginal cost of providing the public good is 9/. a. Compute the efficient level of provision ofthe public good. Page 2 of 3 b. Assume that the local government asks the voters to directly decide about level of G informing them that for each unit of the public good, each of them will be asked to pay a contribution equal to 1. What would be the preferred level of G by each of the four subgroups be? Which G would come out of the voting process