optimal quantity of public goods that the government should provide, and interpret your results. Make sure you show all of the relevant cases. What happens when b changes, or when q changes? (b) Repeat part (a), except with perfect complements preferences; that is, for the case where the representative consumer always wishes to consume private consumption goods and public goods in fixed proportions, or C = aG, with a > 0.

optimal quantity of public goods that the government should provide, and interpret your results. Make sure you show all of the relevant cases. What happens when b changes, or when q changes? (b) Repeat part (a), except with perfect complements preferences; that is, for the case where the representative consumer always wishes to consume private consumption goods and public goods in fixed proportions, or C = aG, with a > 0.

Principles of Economics, 7th Edition (MindTap Course List)

7th Edition

ISBN:9781285165875

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter11: Public Goods And Common Resources

Section: Chapter Questions

Problem 2PA

See similar textbooks

Similar questions

Consider a two-good economy with one private and one public good. There are four consumers in this economy who contribute to public good provision. The price of the private good is $1 and the demand function of the public good for each consumer is as follows: p1 = 20 - 2G, p2 = 30-(5/10)G, p3 = 100-(G/2) and p4 = 60-G where G is the number of units of the public good and p^i is the price of each unit for consumer i in dollars. The cost of providing one extra unit of the public good is (alpha). (a) With 170 < alpha < 210, what is the optimal level of provision of the public good? Show the optimal point on a graph. (b) Is there a possibility that the public good is not supplied at all? Why? (c) If the public good is not supplied at all, what is the size of the deadweight loss due to this market failure? (d) If at least one person contributes, for what values of the public good will be supplied?
In a Lindahl equilibrium, which of the following is true: All individuals pay the same tax shares. Individuals who have a higher demand for public goods consume more public goods. The quantity of public goods consumed is more than the quantity of private goods. The quantity of public goods provided satisfies the Samuelson rule.
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.
Can you answer with explanation and show formula. The accompanying table relating to a public good provides information on the prices Young and Zorn are willing to pay for various quantities of that public good. These two people are the only members of society. Determine the price that society is willing to pay for the public good at each quantity of output. If the government’s marginal cost of providing this public good is constant at $7, how many units of the public good should government provide?
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.)
Suppose the government establishes a per-unit tax on new car sales. The tax funds will be directed to a new pollution abatement program. Consumers in this market watch the price of cars carefully, since a car purchase represents a significant percentage of consumers’ incomes. On the supply side of the market, the car manufacturers use highly specialized equipment and production processes to produce cars, and find it relatively difficult and costly to quickly move into the production of alternative consumer products. Based on this information above, determine which side of the market (demand or supply) is more price elastic. Make a sketch of the demand and supply in this market, in which the relative slopes reflect the relative elasticities you have noted. On your graph, show the impact of the tax on this market, with your graph showing clearly who will bear the greater percentage of a car tax burden, consumers or producers. (Assume that the sellers make the tax payments to the…
Consider an economy with a private good and public good. The economy consists 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 (better written equations attached) The endowment of consumer 1 is w1=2, and the endowment of consumer 2 is w2=3, both in units of private goods. The production of public good uses the linear Technology y=z. Find Lindahl equilibrium.
Describe and explain Samuelson’s general equilibrium model with one pure public good and one private good using the diagrammatic framework. Derive the efficiency condition which emerges.
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 good
Consider a public good that has 2 consumers, Dylan and Fred. Dylan’s demand for the public good is higher than Fred’s demand for the good. Show graphically and explain why the private market will provide an inefficient level of that public good.
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?
Suppose there are three consumers of a public good with the following marginal benefits of consumption related to the quantity of the public good provided: Consumer 1: MB1 = 5 – 2Q Consumer 2: MB2 = 4 – Q Consumer 3: MB3 = 3 – Q Calculate and draw the total marginal benefit function of the public good in a fully labelled diagram. If the marginal cost of producing the public good is MC = 2Q, what is the efficient quantity and how much should each consumer contribute to its provision if it were to provided at the efficient level (assuming the non-rival and non-excludable problems could be resolved)?