Problem 3: A clothing manufacturer produces women's clothes at four locations in Hongkong. Relative locations have been determined, as shown in the table. The location of a central shipping point for bolts of cloth must now be determined. Weekly quantities to be shipped to each location are shown below. Determine the coordinates of the location that will minimize distribution costs. Location A B с D X 563 9 y 7 9 9 4 Weekly Quantity 15 20 25 30

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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Problem 4
Problem 3:
A clothing manufacturer produces women's clothes at four locations
in Hongkong. Relative locations have been determined, as shown
in the table. The location of a central shipping point for bolts of
cloth must now be determined. Weekly quantities to be shipped to
each location are shown below. Determine the coordinates of the
location that will minimize distribution costs.
Location
A
B
с
D
Location
D1
D2
ASSIGNMENT
D3
D4
X
Problem 4:
An analysis of sites for a distribution center has led to two sites (L1
and L2) on the map). The sites are comparable on every key
factor. The one remaining factor is the center of gravity. Use the
center of gravity method to select the better site. Monthly
shipments will be the quantities listed in the table
D5
5
6
3
9
X
y Quantity
1
2
2
4
TUT
3
1
4
2
5
3
y
7
9
9
4
Weekly
Quantity
15
20
25
30
ASSIGNMENT
900
300
700
800
1200
8
8
Transcribed Image Text:Problem 3: A clothing manufacturer produces women's clothes at four locations in Hongkong. Relative locations have been determined, as shown in the table. The location of a central shipping point for bolts of cloth must now be determined. Weekly quantities to be shipped to each location are shown below. Determine the coordinates of the location that will minimize distribution costs. Location A B с D Location D1 D2 ASSIGNMENT D3 D4 X Problem 4: An analysis of sites for a distribution center has led to two sites (L1 and L2) on the map). The sites are comparable on every key factor. The one remaining factor is the center of gravity. Use the center of gravity method to select the better site. Monthly shipments will be the quantities listed in the table D5 5 6 3 9 X y Quantity 1 2 2 4 TUT 3 1 4 2 5 3 y 7 9 9 4 Weekly Quantity 15 20 25 30 ASSIGNMENT 900 300 700 800 1200 8 8
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