A chain of home health care firms in Louisiana needsto locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scat-tered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by ateam of workers, who will drive from the central office to the site. Houma will be visited five times a year. Which coordinates rep-resent a good central location for this office? What other factors might influence the office location decision? Where would youplace this office? Explain. PXCITY MAP COORDINATESx yCovington 9.2 3.5Donaldsonville 7.3 2.5Houma 7.8 1.4Monroe 5.0 8.4Natchitoches 2.8 6.5New Iberia 5.5 2.4Opelousas 5.0 3.6Ruston 3.8 8.5

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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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 scat-
tered 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. Which coordinates rep-
resent a good central location for this office? What other factors

might influence the office location decision? Where would you
place this office? Explain. PX
CITY

MAP COORDINATES
x y
Covington 9.2 3.5
Donaldsonville 7.3 2.5
Houma 7.8 1.4
Monroe 5.0 8.4
Natchitoches 2.8 6.5
New Iberia 5.5 2.4
Opelousas 5.0 3.6
Ruston 3.8 8.5

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