The small city of Pleasantville is considering building a public swimming pool that costs $1,000. Each resident's marginal benefit of the swimming pool is shown below. It takes a 4/5 majority to pass any tax measure, and all residents must vote. $$\begin{array} { | c | c | }
\hline \text { Voter } & \text { Marginal Benefit } \
\hline \text { Kyle } & \$ 420 \
\hline \text { Dylan } & \$ 360 \
\hline \text { Fran } & \$ 350 \
\hline \text { Ronnie } & \$ 190 \
\hline \text { Sam } & \$ 170 \
\hline
\end{array}$$ If Fran proposes that the city build the pool and finance it with a $200 tax on each resident, then ______ residents will vote in favor of the proposal and ______ will vote against, so the proposal will ______.

Question

The small city of Pleasantville is considering building a public swimming pool that costs $1,000. Each resident's marginal benefit of the swimming pool is shown below. It takes a 4/5 majority to pass any tax measure, and all residents must vote. $$\begin{array} { | c | c | } 
\hline \text { Voter } & \text { Marginal Benefit } \
\hline \text { Kyle } & \$ 420 \
\hline \text { Dylan } & \$ 360 \
\hline \text { Fran } & \$ 350 \
\hline \text { Ronnie } & \$ 190 \
\hline \text { Sam } & \$ 170 \
\hline
\end{array}$$ If Fran proposes that the city build the pool and finance it with a $200 tax on each resident, then ______ residents will vote in favor of the proposal and ______ will vote against, so the proposal will ______.

Quizplus · Accepted Answer

Kyle, Dylan, and Fran will vote in favor because their marginal benefits exceed the $200 tax. Ronnie and Sam will vote against because their marginal benefits are less than $200. Thus, 3 will vote in favor and 2 against, so the proposal will fail as it does not meet the 4/5 majority requirement.

The Small City of Pleasantville Is Considering Building a Public