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 В C 20 30 35 25 -- C 30 10 (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? AB

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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).
A
В
C
A
20
30
--
B
35
25
30
10
(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?
Transcribed Image Text: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 В C A 20 30 -- B 35 25 30 10 (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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