EBK OM
6th Edition
ISBN: 9781305888210
Author: Collier
Publisher: YUZU
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Chapter 6, Problem 3PA
Summary Introduction
Interpretation: The X and Y coordinate of a facility needs to determine on the basis of given information using the Centre of Gravity method.
Concept Introduction: The Center of Gravity method is useful in determining suitable facility locations by keeping in mind the market demand and transportation costs.
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A highway contractor needs to locate a single supply point to provide road building materials to three projects. The volume and the map coordinates for the three projects are shown below. Find the ideal location (coordinates) of the supply poiunt using Center of Gravity Method.
Determine the suitable location of a distribution centre with the below data, minimizing the transportation dollars spent on managing inbound and outbound shipments.
Plot the location of the Vendors, Customers and the location of the new DC in a chart
Vendor
V1
V2
V3
V4
Customer
C1
C2
C3
C4
Rate $ per
Ton Mile
$
$
$
$
4.75
3.75
3.15
4.75
Rate $ per
Ton Mile
$
$
$
$
3.50
3.75
4.25
5.00
Volume in
Tons
1000
1000
1600
1400
Volume in
Tons
760
640
800
500
Vendor Location Coordinates (miles)
Horizontal
525
600
412.5
300
Vertical
300
750
750
630
Customer Location Coordinates(miles)
Vertical
450
900
1050
975
Horizontal
900
900
825
1050
Determine the center of gravity for the destinations shown on the followingmap. Monthly shipments will be the quantities listed in the table.
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