There Are Three Work Centers (A,B,and C)behind the Financial Aid

question 83

Essay

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 30 feet,and 1-3 is 50 feet.The matrix of work (trips per day)at the three centers are shown in the following table.Remember 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?

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Definitions:

Gender Gap

The difference in outcomes such as wages, education, and opportunities between genders, highlighting inequalities.

Coffee Shop

A retail establishment that primarily serves coffee and other refreshments, often providing a place for social interaction or work.

Janitorial Duties

Tasks involved in the cleaning and maintenance of buildings and grounds, such as sweeping, mopping, trash removal, and minor repairs.

Gender Gap in Earnings

The disparity between women's and men's earnings, often measured as the ratio of women's to men's median annual earnings among full-time, year-round workers.