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There Are Three Work Centers (A, B, and

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There are three work centers (A, B, and
C) behind the financial aid counter at a nearby university. They can each fit into any of three office spaces (1, 2, and 3) off the corridor behind the desk. There is no student contact in these areas, only workers. The distance 1-2 is 20 feet, 2-3 is 40 feet, and 1-3 is 60 feet. The matrix of work (trips per day) at the three centers are shown in the following table. Assume that each trip must be a round-trip (from 1 to 2 and back, for example).
There are three work centers (A, B, and C) behind the financial aid counter at a nearby university. They can each fit into any of three office spaces (1, 2, and 3) off the corridor behind the desk. There is no student contact in these areas, only workers. The distance 1-2 is 20 feet, 2-3 is 40 feet, and 1-3 is 60 feet. The matrix of work (trips per day) at the three centers are shown in the following table. Assume that each trip must be a round-trip (from 1 to 2 and back, for example).     (a) How many possible assignments are there? List them. (b) Calculate the total distance traveled in each of these assignments. (c) Which assignment minimizes distance traveled?
(a) How many possible assignments are there? List them.
(b) Calculate the total distance traveled in each of these assignments.
(c) Which assignment minimizes distance traveled?


Definitions:

Neuroticism

A personality trait characterized by a tendency towards anxiety, moodiness, worry, and jealousy.

Big Five Factor

The Big Five Factor model outlines five broad dimensions of personality traits seen to describe the human personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Agreeableness

A personality trait characterized by warmth, friendliness, and a tendency towards cooperative and empathetic behavior.

Political Office

A position of authority or command in the government held by an individual who has been elected or appointed to it.

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