A county board of supervisors is voting on methods to raise taxes to finance a n

Question

A county board of supervisors is voting on methods to raise taxes to finance a new sports stadium. The options Number of Ballots are levying a tax on (H)otel rooms, increasing the tax on Preference 8 6 6 (A)lcohol, and increasing the tax on (G)asoline. The board will use the plurality method to make its decision The partially completed preference ballots are as follows A H G G G A H A H 1st 3rd Make a preference table with four different types of ballots and three criterion. Choose the correct answer below candidates, in which the plurality method violates the independence-of-irrelevant-alternatives O A. B. Number of Ballots Number of Ballots Preference 8 6 6 3 Preference 8 6 6 7 1st 2nd 3rd A H G H G GA A H A H G 1st 2nd 3rd A H G A G G A H H AHG O c. D. Number of Ballots Number of Ballots A HG H AH G Preference 8 6 6 3 Preference 8 66 A H G G G GA H H A H A 1st 2ndG 3rd G A H 2nd 3rd

Explanation / Answer

In option A, the winner by plurality method is H with 11 votes.

Now, if A drops out, then the the winner by plurality method is G with 14 votes.

So, option A violates the independence-of-irrelevent-alternatives.

In option B, the winner by plurality method is A with 15 votes.

Now, if H drops out, then the the winner by plurality method is A with 15 votes.

And, if G drops out, then the the winner by plurality method is A with 21 votes.

So, A is winner in both the cases.

So, option B does not violates the independence-of-irrelevent-alternatives.

In option C, the winner by plurality method is G with 9 votes.

Now, if H drops out, then the the winner by plurality method is G with 15 votes.

And, if A drops out, then the the winner by plurality method is G with 17 votes.

So, G is winner in both the cases.

So, option C does not violates the independence-of-irrelevent-alternatives.

In option D, the winner by plurality method is A with 13 votes.

Now, if H drops out, then the the winner by plurality method is A with 13 votes.

And, if G drops out, then the the winner by plurality method is A with 19 votes.

So, A is winner in both the cases.

So, option D does not violates the independence-of-irrelevent-alternatives.

So, the correct option is A.

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