Approximately a thousand people enjoy a local beach. The utility each person gets from the beach is equal to x, which is equal to the number of people who contribute to cleaning up the beach. If x people are contributing to cleaning up the beach, in total they incur a cost of 2x2. If people are making decisions independently, what is the total number of people x; who would contribute to cleaning the beach? What is the socially optimal number of people x, who should contribute to cleaning the beach? (a) xi = = 0, xp = 0 (b) T; — 1, х, — 250 (с) х; — 0, хр — 250 %3D (d) х; — 0, хр — 1000

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
Section30.1: Externalies
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Approximately a thousand people enjoy a local beach. The utility each person gets from the beach
is equal to x, which is equal to the number of people who contribute to cleaning up the beach. If x
people are contributing to cleaning up the beach, in total they incur a cost of 2x2. If people are making
decisions independently, what is the total number of people x; who would contribute to cleaning the
beach? What is the socially optimal number of people x, who should contribute to cleaning the beach?
(а) д — 0, хр
(b) х; —
:1, Тр
250
(c) xi =
: 0, xp = 250
(d) x; =
:0, xp
1000
Transcribed Image Text:Approximately a thousand people enjoy a local beach. The utility each person gets from the beach is equal to x, which is equal to the number of people who contribute to cleaning up the beach. If x people are contributing to cleaning up the beach, in total they incur a cost of 2x2. If people are making decisions independently, what is the total number of people x; who would contribute to cleaning the beach? What is the socially optimal number of people x, who should contribute to cleaning the beach? (а) д — 0, хр (b) х; — :1, Тр 250 (c) xi = : 0, xp = 250 (d) x; = :0, xp 1000
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