Problem
Consider a community consisting of three voters, Al, Bob and Cathy. The Marginal Benefit function for each person is, for lighthouse service G is;
MBa = 40 - 4G for Al,
MBb = 20 - 2G for Bob, and
MBc = 10 - G for Cathy. (Interpret this as demand function.)
The marginal cost of producing the government service is MC= 24.
(i) Draw a diagram to show the marginal benefit functions for each person and the marginal cost. Use the back of this page.
(ii) Suppose there is no government organization to provide this public good. The lighthouse could be privately provided. Which person would provide the public good and by how much?
(iii) What is the Pareto efficient level of the lighthouse service?
(iv) Suppose the tax system in place is equal share system. Among the three individuals, who would vote for the project of community lighthouse?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.