There are three consumers of a public good. The demands for the consumers are as follows:
Consumer 1: \(Q = 60 - 2P_{1}\)
Consumer 2: \(Q = 100 - P_{2}\)
Consumer 3: \(Q = 140 - P_{3}\)
Where Q measures the number of units of the public good and P is the price in dollars. The marginal cost of providing the public good is $180.
a) What is the economically efficient level of production (Q*) of the good?
b) Illustrate your answer on a clearly labeled graph and calculate the net benefits from public good provision of Q*