In a town of two people, Ben and Tem (bear with me on this, okay) the city is trying to decide how many acres to devote to the public park. Ben's demand function is QA = 20 - p and Tem demand TD = 20 function is QD = 26 – 20p, where Q is measured in acres and p is measured in dollars. Acres are supplied according to the function p 10 + 60Q. a. Calculate the Pareto efficient size of the park in acres. b. Assuming that both Ben and Tem are truthful, how much would each pay for the efficient size of the park? What would be the total amount paid by the group? c. Sketch a diagram that shows each person's demand for acres and the Pareto efficient outcome.

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter30: Market Failure: Externalities, Public Goods, And Asymmetric Information
Section30.2: Internalizing Externalities
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In a town of two people, Ben and Tem (bear with me on this, okay) the city is trying to decide
how many acres to devote to the public park. Ben's demand function is QA = 20 - p and Tem
demand TD = 20 function is QD = 26 – 20p, where Q is measured in acres and p is measured
in dollars. Acres are supplied according to the function p
= 10 + 60Q.
a. Calculate the Pareto efficient size of the park in acres.
b. Assuming that both Ben and Tem are truthful, how much would each pay for the efficient
size of the park? What would be the total amount paid by the group?
c. Sketch a diagram that shows each person's demand for acres and the Pareto efficient
outcome.
d. Explain how the size of the park might be different if the size of the park were determined
by voluntary contributions
Transcribed Image Text:In a town of two people, Ben and Tem (bear with me on this, okay) the city is trying to decide how many acres to devote to the public park. Ben's demand function is QA = 20 - p and Tem demand TD = 20 function is QD = 26 – 20p, where Q is measured in acres and p is measured in dollars. Acres are supplied according to the function p = 10 + 60Q. a. Calculate the Pareto efficient size of the park in acres. b. Assuming that both Ben and Tem are truthful, how much would each pay for the efficient size of the park? What would be the total amount paid by the group? c. Sketch a diagram that shows each person's demand for acres and the Pareto efficient outcome. d. Explain how the size of the park might be different if the size of the park were determined by voluntary contributions
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