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)?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.7P
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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)?

 

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