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A stockholder named Sue must cast a vote for chair of the board. Sue prefers Mr. Lee to Ms. Doe, Ms. Doe to Mr. James,

A stockholder named Sue must cast a vote for chair of the board. Sue prefers Mr. Lee to Ms. Doe, Ms. Doe to Mr. James, and Mr. James to Mr. Lee.

(a) Are Sue's preferences consistent with the transitive property? Please explain.

(b) If all three candidates, Mr. Lee, Ms. Doe, and Mr. James are on the ballot at the same time,

who would Sue vote for? Please explain.

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