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

question 164

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A village has five residents, each of whom has an accumulated savings of $50. Each villager can use the money to buy a government bond that pays 10 percent interest per year or to buy a year-old goat, send it onto the commons to graze, and sell it after one year. The price of the goat that the villager will get at the end of the year depends on the amount of weight it gains while grazing on the commons, which in turn depends on the number of goats sent onto the commons, as shown in the table below. Assume that if a villager is indifferent between buying a bond and buying a goat, the villager will buy a goat.  Number af gants  an the carmuns  Price per 2-year  ald poat (5)   Incame per  gant ($/year)  180302752537020465155555\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Number af gants } \\\text { an the carmuns }\end{array} & \begin{array} { c } \text { Price per 2-year } \\\text { ald poat (5) }\end{array} & \begin{array} { c } \text { Incame per } \\\text { gant (\$/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}  
What will be the total village income if each villager decides how to invest based on his or her individual self-interest?


Definitions:

Leadership Behavior

Leadership behavior refers to the actions, attitudes, and approaches exhibited by a leader to influence the motivation and performance of others.

Centralization

The accumulation of decision-making power at the higher echelons of an organization or system.

Initiating Structure

A leadership behavior characterized by clearly defining and organizing work roles and tasks, and setting up clear lines of communication and authority.

Task Satisfying

The state of finding fulfillment or satisfaction in completing tasks or activities, often related to work or personal projects.

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