Table 22-7
The town of Franklin is facing a severe budget shortage. The town administrator has proposed four options to balance the budget: increase property taxes (taxes), cut the school arts budget (arts), turn off half of the streetlights in the town (streetlights), reduce police patrols (police). Exactly one of the four choices will prevail, and the choice will be made by way of pairwise voting, with the majority determining the outcome on each vote. The preferences of the voters are summarized in the table below.

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\text { Voter Type }

\begin{array} { | l | l | l | l | l | } \hline & \text { Type A } & \text { Type B } & \text { Type C } & \text { Type D } \\\hline \text { \% of Electorate } & 14 & 40 & 28 & 18 \\\hline \text { First choice } & \text { taxes } & \text { streetlights } & \text { arts } & \text { police } \\\hline \text { Second choice } & \text { police } & \text { arts } & \text { taxes } & \text { arts } \\\hline \text { Third choice } & \text { streetlights } & \text { taxes } & \text { police } & \text { streetlights } \\\hline \text { Fourth choice } & \text { arts } & \text { police } & \text { streetlights } & \text { taxes } \\\hline\end{array}

-Refer to Table 22-7. If the town administrator asks the people to first choose between cutting the arts program and turning off half of the streetlights, and then choose between the winner of the first election and reducing police patrols, and then choose between the winner of the second election and increasing taxes, which option will win each vote?

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