Use the following information to answer the Questions
At the end of the lease on their apartment, Abe and Bonnie decide to rent separate places and so must make a fair division of the property they purchased together. The items to be divided and the point values each person places on them are given below. $$\begin{array} { l l l }
\text { Item } & \text { Abe's points } & \text { Bonnie's point } \
\text { Plant } & 10 & 10 \
\text { Bookcase } & 40 & 30 \
\text { Quilt } & 25 & 20 \
\text { Picture } & 25 & 40
\end{array}$$
-If Abe and Bonnie use the adjusted winner procedure to divide the property, what will Bonnie end with?
A) plant, picture, and 1/3 quilt
B) picture only
C) plant and picture only
D) plant, quilt, and 1/3 picture

Question

Use the following information to answer the Questions
At the end of the lease on their apartment, Abe and Bonnie decide to rent separate places and so must make a fair division of the property they purchased together. The items to be divided and the point values each person places on them are given below. $$\begin{array} { l l l } 
\text { Item } & \text { Abe's points } & \text { Bonnie's point } \
\text { Plant } & 10 & 10 \
\text { Bookcase } & 40 & 30 \
\text { Quilt } & 25 & 20 \
\text { Picture } & 25 & 40
\end{array}$$
-If Abe and Bonnie use the adjusted winner procedure to divide the property, what will Bonnie end with?
A) plant, picture, and 1/3 quilt
B) picture only
C) plant and picture only
D) plant, quilt, and 1/3 picture

Quizplus · Accepted Answer

To use the adjusted winner procedure, we first calculate the total points assigned to each item:

- Plant: 10+10=20
- Bookcase: 40+30=70
- Quilt: 25+20=45
- Picture: 25+40=65

Since the total points add up to 200, the first person to go (in this case, Abe) needs to make a proposal that gives him at least 100 points. Abe could propose taking the bookcase, quilt, and picture, which would give him 70+45+65=180 points. Bonnie would be left with the plant, which is worth 20 points.

Now we move to the adjusting phase, where Bonnie gets to make a proposal. She can propose taking the plant and 1/3 of the quilt (which is worth 15 points), leaving Abe with the picture (worth 65 points). This gives Bonnie a total of 20+15=35 points, which is less than half of the total points. Therefore, Abe can either accept her proposal or make her a new proposal.

If Abe proposes that Bonnie take the plant, picture, and 1/3 of the quilt, he would be left with the bookcase and 2/3 of the quilt. This would give him a total of 70+30+(2/3)*45=145 points. Bonnie would get 10+40+(1/3)*45=35 points, again less than half of the total. Therefore, Abe's proposal would be accepted and Bonnie would end up with the plant, picture, and 1/3 of the quilt.

Use the Following Information to Answer the Questions at the End

Use the Following Information to Answer the Questions
at the End