A small town has 300 people, all of whom are interested only in private consumption and in the quality of the city streets. The utility function of person i is given by U(X₁, G) = X₁ + A₁G - B₁G², where X₂ is the amount of money that person i has to spend on private goods and G is the amount of money that the town spends on fixing its streets. There are 3 types of people, and each type has 100 people. The parameters in their utility function s given by
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how do we get the value of G in part b ? or can we simply not get it ? kindly explain please, thanks
- Suppose that two individuals, Jon and David, form a community and would like to construct a communal fort that would protect them from attacks. They both consume good X, a private good, and the protection of the fort, P. One unit of good X costs 1 unit of currency, and one unit of P costs 2 units of currency. Both Jon and David have an income of 100 and a utility function of the form: U = log(Xi) + 2 × log(PJ + PD)The budget constraint for each is given by:Xi + 2 × Pi = 100 (a) Find the amount of protection Jon will provide as a function of how much David provides, and explain why the relationship is the way it is.Marbella has 101 residents. All wear the same fancy clothes and each has the same utility function, u(m, b, B) = m + 14b − b2 − B/50, where m is the amount of macaroni (in kilograms) that he or she eats per day, b is the number of hours that he or she spends on the beach per day, and B is the total number of person-hours spent per day on the beach by other residents of Marbella. Each has an income of $10 per day and macaroni costs $1 per kilogram. The city council is considering a law that would limit the amount of time that any person can spend on the beach. How many hours per day should they allow in order to maximize the utility of a typical Marbellite? A. 6 B. 9 C. 7 D. 10 E. They could not possibly be made better off by legislation that limits their freedom to choose.Consider an economy with a private good and public good. The economyconsists of two consumers whose utility functions are:u1(x1, y) = 1/2 ln x1 +1/2 ln y and u2(x2, y) = 1/3 ln x2 +2/3 ln y.The endowment of consumer 1 is w1 = 2, and endowment of consumer 2 is w2 = 3, both in units of private goods. The production of public good uses the linear technology y = z. 1. Find Lindahl equilibrium.
- Public Goods. Suppose a neighborhood in Segovia’s central business area is deciding how many fountains they want to see in the main avenue. There is a first group of 20 neighbors and each has a demand Q = 20 − P for fountains. There is a second group of 5 people, and each has a demand Q = 20 − 2P for fountains. The cost of building each fountain is 225. How many fountains are socially optimal? Fountains are public goods. Hint: To obtain the SMB, please first transform the demand functions into “public goods’ valuations” (“isolate P”) and then multiply them by the amount of neighbors per group. Then you can proceed with the vertical summation.Consider the model of a rational consumer that cares about consumption of private goods and consumption of broadcast public television (a public good). Suppose that the total level of broadcast public television provided through voluntary contributions is 10 hours of programming. Then the government decides to raise money through a tax and provide 10 hours of programming to the public. What would we predict about crowd-out of voluntary contributions to broadcast public television when government does this? How would the answer change if consumers get warm glow utility from donating to broadcast public television in addition to utility from the public television itself? (Be specific.)Because public goods are jointly consumed, which of the following is obtained by summing the private marginal benefits across all individuals?
- Scenario 4 Suppose there are two residents in a neighborhood, Tana and Jason. Tana's demand for clean streets is Q = 100 – 4P. Jason's demand for clean streets is Q = 80 – 2P. If your answer is not a whole number, please make sure to round to the nearest hundredth. Refer to Scenario 4. Find the social demand curve for clean streets in this neighborhood. What is the y-intercept of the social demand curve? (Do not enter a dollar sign in your answer)Concerned about the welfare of people, the Government restricts consumption of good 2 to a maximum of 20 units. If a consumer has an income of $50 and faces price p1 = 1 and p2 = 2, what is the budget constraint for the consumer given the rule from Government? Group of answer choices x2 = 20 if x1 ≤ 10, x1 + 2x2 = 50 if 10 ≤ x1≤ 50 x1 + 2x2 = 50 if 0 ≤ x1≤ 50 none of the above x2 = 20 if x1 ≤ 20, x1 + 2x2 = 50 if 20 ≤ x1≤ 50 x2 = 20Question 7 You are a guitarist that plays for a heavy metal band. Once a week, the band meets at your house for practice. The enjoyment you get from the practice sessions are valued at $500. Your next-door neighbor is annoyed by all the noise caused by the band practice sessions. She enjoys her peace and quiet at a value of $350. If the neighbor has the right to a quiet neighborhood, which of the following is a possible outcome according to the Coase Theorem? Your neighbor pays you $500 to stop the practice sessions. You pay your neighbor $400 to stop complaining. You tell your neighbor that she is too quiet. Your neighbor continues to complain, and you continue playing.
- Consider the market for flu vaccines, in which consumption causes positive externalities by creating herd immunity. Quantity supplied is given by Qs=2+2*P Marginal Private Benefit (determines individual demand of consumers of the vaccine i.e. the benefit from not getting sick) is given by Qd=60.5-2.5*MBP. Marginal Social Costs (MPC plus the benefits of externalities) is given by Qd=69.5-2.5*MSB. Plot these 3 curves on a graph with 6 points at P=11,12,13,14,15,16. What is the deadweight loss if only free-market forces are at play (i.e. externalities are not considered by the consumers)? How much should the subsidy be to bring the market to efficient equilibrium?Anne has just purchased a new house in a lovely neighborhood. Her neighbors are friendly and even brought her house-warming gifts. Anne, however, has a problem. Her neighbors have cats, and Anne hates cats. Even though the city has a law requiring all outdoor pets to be on a leash, her neighbors ignore it, and the cats roam all over Anne's property. How would an economist describe this situation? Is there anything Anne can do? Can you think of a Coase- like private solution?The answer is not quasi-private. Already tried that choice