Table 22-13
The fortunate residents of Anytown have a budget surplus. The mayor decided that it is only fair to have the residents vote on what to do with the surplus. The mayor has narrowed the options down to three possible projects: a playground, a library, or a swimming pool. The voters fall into three categories and have preferences as illustrated in the table.

-Refer to Table 22-13.If the mayor asks the residents to choose between the playground and the library using pairwise voting,
A) the playground wins by 45%.
B) the playground wins by 60%.
C) the library wins by 20%.
D) the library wins by 80%.

Question

Table 22-13
The fortunate residents of Anytown have a budget surplus. The mayor decided that it is only fair to have the residents vote on what to do with the surplus. The mayor has narrowed the options down to three possible projects: a playground, a library, or a swimming pool. The voters fall into three categories and have preferences as illustrated in the table.
 
-Refer to Table 22-13.If the mayor asks the residents to choose between the playground and the library using pairwise voting,
A) the playground wins by 45%. 
B) the playground wins by 60%. 
C) the library wins by 20%. 
D) the library wins by 80%.

Quizplus · Accepted Answer

To determine which option would win using pairwise voting, we need to compare the percentage of voters who prefer each option in head-to-head matchups.

For the playground vs library matchup:
- 60% prefer the playground
- 40% prefer the library

Therefore, the playground would win if the choice was between the playground and library.

We cannot accurately determine the results of a matchup between the library and swimming pool, as the preferences are tied between those two options. However, since the playground option wins in a matchup against one of the other options, it would be considered the best choice based on pairwise voting.

Table 22-13 the Fortunate Residents of Anytown Have a Budget Surplus. the Surplus