Question 1 (20 points). There are two consumers in an area. Each of them consumes a private good X and a public good T. Overall level of provision of a public good (T) is the sum of consumption by both consumers: T = T +T, . The price of a unit of a private good is $2. The price of a unit of T is $4. Both consumers have an income of $300. The utility function of each consumer is given by: U = 2log X + log(T] + T2) a) (15 points) Find socially optimal (efficient) level of production of a public good. b) (5 points) Are efficient and market level of production of public good the same or not? Explain why. Hint: you do not need to calculate the market level of production of a public good to answer this