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Your College's Math Club Consists of Four Voting Members: the President

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Short Answer

Your college's Math Club consists of four voting members: the president, vice president, secretary, and treasurer. The president's vote counts four times as much as the secretary and treasurer's votes and two times as much as the vice-president's vote. If the secretary and treasurer each have the exactly one vote and any motion needs at least six favorable votes in order to be passed, then give the weighted voting system which models this scenario.


Definitions:

Expectancy Theory

A motivation theory stating that an individual's willingness to exert effort is a function of the expected outcome of the effort, the value of that outcome, and the perceived likelihood that the effort will lead to the expected outcome.

Work Effort

The amount of physical or mental energy expended towards the achievement of a task or goal.

Reward Outcomes

The benefits or compensations received as a result of completing a task or achieving a goal, which can be intrinsic (personal satisfaction) or extrinsic (material incentives).

Goal Setting

The process of identifying specific, measurable, achievable, relevant, and time-bound objectives that guide an individual's or organization's focus and direction.

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