Word Problem

User Generated

yvyzrpur101

Mathematics

Description

Voters in a small town are considering four proposals A, B, C, and D, for the design of affordable housing. The winning design is to be determined by the Borda count method. The preference table for the election is shown.
Number of Votes

259

111

56

37

1st Choice

A

D

D

B

2nd Choice

B

B

B

A

3rd Choice

C

C

A

C

4th Choice

D

A

C

D

A. Which design has a majority of first-place votes? (4 points)

B. Using the Borda count method, which design will be used for the affordable housing? (22 points)

C. Is the majority criterion satisfied? Why or why not? (2 points)

A. For this portion of the problem, you must show all written work (each step) leading to the final answer, the winning design - failure to do so will result in no credit being given for this portion of the problem, even if your final answer is correct.

B. For this portion of the problem, you are required to use the Borda count method that is demonstrated withn your textbook (eBook) and was also worked out in the ReviewAssignmentHelp file for Test 3. You

must show all written work (each step) leading to the final answer, the design that will be used for the affordable housing - failure to do so will result in no credit being given for this portion of the problem, even if your final answer is correct.

C. Is the majority criterion satisfied? Why or why not?

Choose the correct answer - you are required to write the entire statement on your paper (no abbrevations or paraphrasing accepted) - failure to do so will result in no credit being given for this portion of the problem, even if your final answer is correct.

(a) Yes. The design with the majority of first-place votes won the election.

(b) No. The design with the majority of votes won the election.

(c) No. The design with the majority of first-place votes lost the election.

(d) Yes. The design with the majority of votes lost the election.

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Explanation & Answer

Hello lilmech...


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