A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year. City Covington Donaldsonville X= Houma Monroe Natchitoches New Iberia Map Coordinates X 9.4 7.1 7.6 5.2 2.8 5.3 5.2 3.6 Y 3.2 2.5 2186238 57 1.7 8.1 - 80 - 3 5 Opelousas Ruston For the location of the new central office, the coordinates should be near. 6.8 2.1 3.3 8.5 y=_ c.) The center-of-gravity approach minimizes the distance traveled assuming straight lines. This approach ignores geographical features that would tend to violate the straight line constraint such as (select all that apply): A.) Rivers B.) Trips C.) Non-Straight Roads D.) Bridges

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits
and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the
following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive
from the central office to the site. Houma will be visited five times a year.
City
Covington
Donaldsonville
X=
Houma
Monroe
Natchitoches
New Iberia
Map Coordinates
X
9.4
7.1
7.6
5.2
2.8
5.3
Y
3.2
2.5
Opelousas
Ruston
For the location of the new central office, the coordinates should be near:
5.2
3.6
1.7
8.1
6.8
2.1
3.3
8.5
y=
c.) The center-of-gravity approach minimizes the distance traveled assuming straight
lines. This approach ignores geographical features that would tend to violate the
straight line constraint such as (select all that apply):
A.) Rivers B.) Trips C.) Non-Straight Roads D.) Bridges
Transcribed Image Text:A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year. City Covington Donaldsonville X= Houma Monroe Natchitoches New Iberia Map Coordinates X 9.4 7.1 7.6 5.2 2.8 5.3 Y 3.2 2.5 Opelousas Ruston For the location of the new central office, the coordinates should be near: 5.2 3.6 1.7 8.1 6.8 2.1 3.3 8.5 y= c.) The center-of-gravity approach minimizes the distance traveled assuming straight lines. This approach ignores geographical features that would tend to violate the straight line constraint such as (select all that apply): A.) Rivers B.) Trips C.) Non-Straight Roads D.) Bridges
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