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Scenario 3
Suppose there are one hundred residents in a neighborhood, and each resident has an identical demand for a public good. The demand for each resident is given by P = 2 - .01Q. If your answer is not a whole number, please make sure to round to the nearest hundredth.
Refer to Scenario 3. Find the social demand curve for the public good in this neighborhood. What is the y-intercept of the social demand curve?
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- Scenario 3 Suppose there are one hundred residents in a neighborhood, and each resident has an identical demand for a public good. The demand for each resident is given by P = 2 - .01Q. If your answer is not a whole number, please make sure to round to the nearest hundredth. Refer to Scenario 3. Find the social demand curve for the public good in this neighborhood. What is the slope of the social demand curve?Suppose there are two residents in a neighborhood, and you know both of their demand curves for a public good. What would you have to do in order to figure out what the social demand curve? a-Subtract the demand of the person with the higher valuation of the public good from the demand of the person with the lower valuation of the public good b-Add their demand curves together c-Multiply the two demand curves together d-Subtract the demand of the person with the lower valuation of the public good from the demand of the person with the higher valuation of the public good11-) Andrew, Beth, and Cathy live in Lindhville. Andrew’s demand for bike paths, a public good, is given by Q = 12–2P. Beth’s demand is Q = 18–P, and Cathy’s is Q = 8–P/3. The marginal cost of building a bike path is MC = 21. The town government decides to use the following procedure for deciding how many paths to build. It asks each resident how many paths they want, and it builds the largest number asked for by any resident. To pay for these paths, it then taxes Andrew, Beth, and Cathy the prices a, b, and c per path, respectively, where a + b + c = MC. (The residents know these tax rates before stating how many paths they want.)A-). If the taxes are set so that each resident shares the cost evenly (a = b = c), how many paths will get built?B) Show that the government can achieve the social optimum by setting the correct tax prices a, b, and c. What prices should it set?
- 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 slope of the social demand curve? and what is the socially optimal number of clean streets if the marginal cost of cleaning them is $95?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)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.
- Suppose there are two individuals, Bob and Linda, who have demand curves for good X characterized by the equation P= 6-2QandP= 6-Q. Assume that the good is produced competitively, and that the marginal cost of production (Supply) is given by P= 2Q. a) Assume that good X is a private good. What is the market demand (i.e. marginal social benefit) for good X? Solve for the market equilibrium price and quantity. Depict graphically. b) If good X is a public good, what is the market demand (i.e. marginal social benefit) for good X? Solve for the efficient price and quantity. Depict graphically. c) Comment on why your answers in parts a and b are different.There are two consumers of mosquito abatement (a public good), Dave and Lilly. Dave’s benefit from mosquito abatement is given by ??? = 100 − ?, where Q is the quantity of mosquito abatement. Lilly’s benefit is given by ??? = 60 − ?.a. Calculate the total marginal benefit, ???.b. Suppose that mosquito abatement can be provided at a marginal cost of ?? = 2?. Find the socially optimal level of abatement. c. If mosquito abatement is privately supplied, what quantity will be supplied by Dave, and what quantity will be supplied by Lilly? Briefly explain.Individuals A, B and C have the following individual demand curves: Q=7-5P Q=10-P Qc=18-3P Make a price quantity chart for each consumer. Then add a column showing the total quantity demanded for a private good. Next show the quantity price chart showing the total demand for a public good. Graph and label all 5 demand curves on the same graph (see provided graph sheet). If the marginal cost is $4 a unit how many units should be bought if the good is a private good? How many units would each individual buy? If the marginal cost is $6 a unit, to the nearest .1 how many units should be bought if the good is a public good? To the nearest S 0.01 what are the Lindahl prices each person is willing to pay? Do consumers of public goods have the same incentives to reveal their true valuations of Public goods as they do of Private goods? Why or why not?
- Suppose there are two residents in a neighborhood, and you know both of their demand curves for a public good. What would you have to do in order to figure out what the social demand curve? A.Multiply the two demand curves together B.Add their demand curves together C.Subtract the demand of the person with the lower valuation of the public good from the demand of the person with the higher valuation of the public good D.Subtract the demand of the person with the higher valuation of the public good from the demand of the person with the lower valuation of the public goodNow suppose the U.S. government does not know the demand curve for pollution and, therefore, cannot determine the optimal tax to achieve the desired level of pollution. Instead, it auctions off tradable pollution permits. Each permit entitles its owner to emit one ton of chemicals per day. To achieve the socially optimal quantity of pollution, the government auctions off 140 million pollution permits. Given this quantity of permits, the price for each permit in the market for pollution rights will be $----- . The previous analysis hinges on the government having good information regarding either the demand for pollution permits or the optimal level of pollution (or both). Given that the appropriate policy (tradable permits or corrective taxes) can depend on the available information and the policy goal, consider the following scenario. Suppose the government knows the optimal quantity of pollution as well as how much it costs a particular polluting firm to reduce pollution at each…Three individuals, Juan, Madison and Hassan, make up the entire market for some private good. Their marginal willingness-to-pay functions for this good are shown below. The marginal cost of providing this good is MC =25 + 0.25Q Juan MWTP = 100 -Q Madison MWTP = 210 - 2.10 Hassan MWTP = 240 - 2.4Q a) Derive the aggregate MWTP function for this private good b) What is the socially-efficient price and quantity? Graph the aggregate MWTP and MC curve, and identify the socially-efficient price and quantity. c) How much of this good will Juan, Madison and Hassan each decide to consume at this price? d) Compute total willingness-to-pay, total cost and net value at the socially-efficient outcome.
