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

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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

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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