Question

1. A chain of home health care firms in Selangor needs to locate a central office from which to conduct internal audit and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Subang, will be visited three times each year by a team of workers, who will drive from the central office to the site. Subang will be visited five times a year. Which coordinates represent a good central location for this office?   

	MAP COORDINATES
CITY	X	Y
Kajang	9.2	3.5
Semenyih	7.3	2.5
Cheras	5.0	8.4
Subang	7.8	1.4
Kelana Jaya	2.8	6.5
Shah Alam	5.5	2.4
Damansara	5.0	3.6
Bangsar	3.8	8.5

Answer 1

Answer:

As no specific information is mentioned in the question, here, in order to find the coordinates for the centra; location, we will apply the steps of the Centroid (or Center of Gravity Method) as mentioned in the below steps:

Step 1: First, prepare the following table:

Where W = No. of visits per year, X = X-Coordinates, Y = Y-Coordinates, XW = X * W = Weighted Score for X-Coordinates, and YW = Y * W = Weighted Score for Y-Coordinates

Step 2: Find the coordinates for the best location for the outlet as mentioned below:

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