Consider three consumers indexed by i ={1,2,3} with the following demand functions for a pu good G: 20 -G, P2 = 5 -G, P3 = 20 - G 20 10 a. If marginal cost is constant at $15, what is the private provision of public goods? b. If marginal cost is constant at $15, what is the optimal level of public good?
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- From an economic viewpoint, the optimal amount of pollution a. is zero because all pollution imposes costs on society. b. is that amount firms create when they maximize economic profits by setting their marginal private costs equal to market price. c. is that amount where the marginal social costs of producing a good precisely equals the price of the good. d. Both answers b. and c. are correct.Consider agent A with (inverse) demand curve for the public good Pa = 60 - 2Qa and agent B with inverse demand Pb = 90 - 5Qb , where prices are measured in £ per unit. The marginal cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public good? Explain. Illustrate in a graph.Suppose that three individuals each benefit from a public good. The marginal cost of the public good provision is fixed at $15 per unit: MC = $15 Whereas each of the three individuals (Person 1, Person 2, and Person 3) each receive a marginal benefit for each unit of the public good defined by: Person 1: MB1= 40 − 2Q Person 2: MB2= 30 − 2Q Person 3: MB3= 31 − Q 1. Draw a figure with all three MB curves, the MC curve, and the Social Marginal Benefit (SMB) Curve. Label all x-intercepts, y-intercepts, and kinks in the SMB curve.2. Given the above MB curves, write down the Social Marginal Benefit Curve as a function of Q. 3. What is the Socially Optimal Choice of Q and would any private individual purchase this on their own? Show your work. Suppose that you are on the town council, and that the town currently has Q = 11 of this public good. You are considering raising money from Persons 1 – 3 in order to buy another unit of Q, where Person 1 pays t1, Person 2 pays t2, Person 3 pays t3 4.…
- Suppose the marginal cost of a pure public good increases as more is purchased by a community. Prove that the Lindahl equilibrium will result in a budget surplus at the efficient annual output of the pure public goodConsider a market with three consumers A, B and C. A has the demand function P = 20 – Q, B has the demand function P = 12 - 0.5Q and C has the demand function P = 8 - 0.5Q. The marginal cost of producing a product is constant at $8. (i) If the product is a private good, compute the market equilibrium quantity. (ii) Will your answer be different if the product is a public good instead? Compare your answer with (i). Hi, may i request for a detailed explaination? Thank you in advancedConsider the market for a good that has a positive externality and that is produced by a monopolist. How does the amount produced in the absence of any government policy compare with the amount that would maximize the total social surplus? Identify the total private surplus, external benefits, and total social surplus both at the level of production that occurs without government intervention and at the level of production that maximizes the total social surplus. What is the deadweight loss in the absence of government intervention? (explain using suitable graphs and explanations)
- Consider agent A with (inverse) demand curve for the public good PA = 60 − 2QA and agent B with inverse demand PB = 90 − 5QB, where prices are measured in £ per unit. The marginal cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public good? Explain. Illustrate in a graph. [Hint: Compute the marginal social benefit of the public good by adding up the demand curves vertically, over the p’s]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?Consider a public goods problem. Assume a community has 10 people each with: MBP = 10 – Q, where Q is equal to the quantity of the public good provided in the community. Assume no externality in public good production: MCP = MCS = 10. Assume a rich philanthropist offers to pay half the cost of every voluntary donation. Given this subsidy, the community will choose to donate ____ total units of Q with a deadweight lost of ____ ?
- 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?Consider a product market with three consumers X, Y and Z with demand function PX = 6 - QX, PY = 12 - QY and PZ = 18 - QZ respectively, where P is the price in dollars and QX, QY and QZ are the quantities demanded by Consumer X, Y and Z respectively. If the product is public good, obtain the marginal social benefit function and draw the diagram. Determine the optimal quantity of the product in the market if the marginal cost of the product is constant at (a) $3, (b) $9 and (c) $21.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?