Consider an economy of 50 people who consume a private good [money, m} and a public good (parks, pl. There are two types of people (type 1 and type 2]. Each type 1 person's marginal rate of substitution (Le. willingness to pay or the public good by giving up some private good} is MRSlpm = dill2p, and each type 2 person's marginal rate of substitution is MRSme = 604p. There are 20 type 1 people and 30 type 2 people. The economy wide marginal rate of transformation is MRTpm = 1830 + 30p. a] Suppose that the current allocation is such that p = 2 and each person has 550. Is that allocation efficient? If not, then should more or less parks be provided? If more parks are provided. then propose a costsharing arrangement that proyides one more park and makes eyeryone at least as well off as before. bl What is the socially optimal amount of parks to be proyided in this economy