Use the following information to answer Questions
Fifty voters who elect one of the five candidates
-A, B, C, D, or E-have the preference schedule shown below. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c c }
& 20 & 14 & 10 & 6 \
\text { First choice } & \mathrm { A } & \mathrm { B } & \mathrm { B } & \mathrm { C } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { A } & \mathrm { D } \
\text { Third choice } & \mathrm { E } & \mathrm { D } & \mathrm { C } & \mathrm { B } \
\text { Fourth choice } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { A } \
\text { Fifth choice } & \mathrm { D } & \mathrm { E } & \mathrm { E } & \mathrm { E }
\end{array}$
-Which candidate will be elected using the Borda count?

Question

Use the following information to answer Questions 
Fifty voters who elect one of the five candidates
-A, B, C, D, or E-have the preference schedule shown below. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c c } 
& 20 & 14 & 10 & 6 \
\text { First choice } & \mathrm { A } & \mathrm { B } & \mathrm { B } & \mathrm { C } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { A } & \mathrm { D } \
\text { Third choice } & \mathrm { E } & \mathrm { D } & \mathrm { C } & \mathrm { B } \
\text { Fourth choice } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { A } \
\text { Fifth choice } & \mathrm { D } & \mathrm { E } & \mathrm { E } & \mathrm { E }
\end{array}$
-Which candidate will be elected using the Borda count?

Quizplus · Accepted Answer

In the Borda count method, points are assigned based on the position of each candidate in each voter's preference list (with the first choice receiving the most points and the last choice receiving the least). Here, since there are 5 candidates, the first choice gets 4 points, the second choice gets 3 points, the third choice gets 2 points, the fourth choice gets 1 point, and the fifth choice gets 0 points. Calculating the total points for each candidate:- A: $20 \times 4 + 14 \times 3 + 10 \times 3 + 6 \times 1 = 80 + 42 + 30 + 6 = 158$- B: $20 \times 1 + 14 \times 4 + 10 \times 4 + 6 \times 2 = 20 + 56 + 40 + 12 = 128$- C: $20 \times 3 + 14 \times 1 + 10 \times 2 + 6 \times 4 = 60 + 14 + 20 + 24 = 118$- D: $20 \times 0 + 14 \times 2 + 10 \times 1 + 6 \times 3 = 0 + 28 + 10 + 18 = 56$- E: $20 \times 2 + 14 \times 0 + 10 \times 0 + 6 \times 0 = 40 + 0 + 0 + 0 = 40$Candidate A has the highest total points (158) and would be elected using the Borda count method.

Use the Following Information to Answer Questions Fifty Voters \quad

Use the Following Information to Answer Questions
Fifty Voters $\quad$