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A Village Has Five Residents, Each of Whom Has an Accumulated

question 65

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A village has five residents, each of whom has an accumulated savings of $50. Each villager can use the money to buy a government bond that pays 10% interest per year or to buy a year-old goat, send it onto the commons to graze, and sell it after one year. The price of the goat that the villager will get at the end of the year depends on the amount of weight it gains while grazing on the commons, which in turn depends on the number of goats sent onto the commons, as shown in table below. Assume that if a villager is indifferent between buying a bond and buying a goat, the villager will buy a goat.  Number of goats  on the commons  Price per 2-year  old goat ($)   Income per goat  ($/year)  180302752537020465155555\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Number of goats } \\\text { on the commons }\end{array} & \begin{array} { c } \text { Price per 2-year } \\\text { old goat (\$) }\end{array} & \begin{array} { c } \text { Income per goat } \\\text { (\$/year) }\end{array} \\\hline 1 & 80 & 30 \\\hline 2 & 75 & 25 \\\hline 3 & 70 & 20 \\\hline 4 & 65 & 15 \\\hline 5 & 55 & 5 \\\hline\end{array} If the villagers purchase the socially optimal number of goats and bonds, then total village income will be ______.

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Definitions:

Garnishment

A legal process whereby a creditor obtains a court order to redirect a portion of an individual's earnings to satisfy a debt.

Class Action

An action brought on behalf of the plaintiff and others similarly situated.

Non Obstante Veredicto

A legal term meaning "notwithstanding the verdict," which allows a judge to reverse the decision of a jury if it is contrary to the law or evidence.

Settlement

The resolution of a dispute or lawsuit outside of court through negotiation, which results in an agreement that both parties consent to.

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