I have two and a half hours left for this question. I will like any attempts to solve the question and no need to worry about the accuracy of the answer. I am not even sure how to set it up. Could you please help? Below, there is also the private solution equation that I do not know how to use.

A Simple Model for National Defense: Private Solution . Each person's optimization is max In(c) + y In subject to G + pd, = 1 . FOCs are All individuals are identical so the problem is symmetric, therefore q = c, dj = d Vj =1, ..., N Therefore, the private optimal income share of public defense expenditure is pd* Y N+YProblem IV. Snowplowing in Minneapolis (40 points) Minneapolis residents obtain util- ity from consuming the private good, c, and from total snowplowing service, G, in the city, u(c. G) = coGl-a. There are N residents living in Minneapolis. Price of the private good is normalized to 1. Individuals are identical and each has income of I. Suppose that snowplowing is provided privately and G = _ _, ga, where g; is the amount of snowplowing service purchased by person i at price p. 1. Find the private optimal level of snowplowing service, G*. (5 pts) 2. Find the social optimal level of snowplowing service, G. (5 pts) 3. Show that the private provision results in underprovision. (5 pts)