A village has six residents, each of whom has accumulated savings of $100. Each villager can use this money either to buy a government bond that pays 18 percent interest per year or to buy a year-old liama, send it onto the commans to graze, and sell it after i year. The price the villager gets for the 2-year-old ilama depends on the quality of the fleece it grows while grazing on the commons. That in turn depends on the animal's access to grazing, which depends on the number of lamas sent to the commons, as shown in the following table: Price per llamas on the 2-year-old llama ($) Number of connons 125 119 116 4 113 111 109 The villagers make their investment decisions one after another, and their decisions are public. a. f each villager decides individually how to Invest, how many llamas will be sent onto the commons, and what will be the resulting village income? Number of lamas: [ Instructions: Enter your response as a whole number. Village income: S b. What is the socially optimal number of lamas for this village? Socially optimal number of llamas: What would village income be if the socially optimal number of llamas were sent onto the commons? Instructions: Enter your response as a whole number. Village income:

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question 10
A village has six residents, each of whom has accumulated savings of $100. Each villager can use this money either to buy a
government bond that pays 18 percent interest per year or to buy a year-old lama, send it onto the commons to graze, and sell it after
i year. The price the villager gets for the 2-year-old lama depends on the quality of the fleece it grows while grazing on the commons.
That in turn depends on the animal's access to grazing, which depends on the number of llamas sent to the commons, as shown in the
following table:
Price per
1lamas on the 2-year-old
1lama ($)
Number of
commons
125
119
116
113
4
111
6
109
The villagers make their investment decisions one after another, and their decisions are public.
a. lf each villager decides individually how to invest, how many llamas wil be sent onto the commons, and what will be the resulting
village income?
Number of lamas:
Instructions: Enter your response as a whole number.
Village income: S[
b. What is the socially optimal number of llamas for this village?
Socially optimal number of llamas:
What would village income be if the socially optimai number of llamas were sent onto the commons?
Instructions: Enter your response as a whole number.
Village income: S
Transcribed Image Text:Question 10 A village has six residents, each of whom has accumulated savings of $100. Each villager can use this money either to buy a government bond that pays 18 percent interest per year or to buy a year-old lama, send it onto the commons to graze, and sell it after i year. The price the villager gets for the 2-year-old lama depends on the quality of the fleece it grows while grazing on the commons. That in turn depends on the animal's access to grazing, which depends on the number of llamas sent to the commons, as shown in the following table: Price per 1lamas on the 2-year-old 1lama ($) Number of commons 125 119 116 113 4 111 6 109 The villagers make their investment decisions one after another, and their decisions are public. a. lf each villager decides individually how to invest, how many llamas wil be sent onto the commons, and what will be the resulting village income? Number of lamas: Instructions: Enter your response as a whole number. Village income: S[ b. What is the socially optimal number of llamas for this village? Socially optimal number of llamas: What would village income be if the socially optimai number of llamas were sent onto the commons? Instructions: Enter your response as a whole number. Village income: S
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