Use the following information to answer the Questions:
Twenty-nine voters must choose from among three alternatives: A, B, and C. The voters' preference schedules are shown below. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c c }
& 12 & 8 & 6 & 3 \
\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { C } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { B } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { A }
\end{array}$
-C wins in a Borda count. Can the 12 voters in the first column change their preference list to produce an outcome they like better?
A) No, C will always win.
B) Yes, they can rank A, C, B.
C) Yes, they can rank B, A, C.
D) Yes, they can rank C, A, B.

Question

Use the following information to answer the  Questions: 
Twenty-nine voters must choose from among three alternatives: A, B, and C. The voters' preference schedules are shown below. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of voters }$
$\begin{array} { l c c c c } 
& 12 & 8 & 6 & 3 \
\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { C } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { B } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { A }
\end{array}$
-C wins in a Borda count. Can the 12 voters in the first column change their preference list to produce an outcome they like better?
A) No, C will always win.
B) Yes, they can rank A, C, B.
C) Yes, they can rank B, A, C.
D) Yes, they can rank C, A, B.

Quizplus · Accepted Answer

If the 12 voters in the first column rank B first instead of C, then the point total for B becomes 12(2) + 8(1) + 6(3) + 1(0) = 62, and the point totals for A and C become 8(2) + 6(1) + 12(3) + 3(0) = 74, and 6(2) + 3(1) + 8(3) + 12(0) = 30 respectively. Therefore, A wins in the Borda count. Thus, by changing their preference, the 12 voters in the first column can produce an outcome they like better.

Use the Following Information to Answer the Questions \quad

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