Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Use the following information for the next 2 problems:
A warehouse is to be built that will support three factories. The (x,y) location of each factory, annual volume and transportation rate from each factory is given below. Use a map scaling factor of K=500 miles.
Factory |
Xi |
Yi |
Vi: Annual Volume (cwt) |
Ri: Rate ($/cwt per mile) |
ViRi |
ViRiXi |
ViRiYi |
1 |
1.6 |
6.3 |
4,000 |
0.02 |
|
|
|
2 |
7.2 |
4.0 |
10,000 |
0.04 |
|
|
|
3 |
2.0 |
3.0 |
3,000 |
0.05 |
|
|
|
|
|
|
|
Totals: |
|
|
|
1.Using the COG method, what is the optimal (x,y) location of a single warehouse?
- (5.25,4.05)
- (3.25, 4.05)
- (4.5, 3.65)
- (4.5, 5.15)
- (5.25, 5.15)
- (3.25, 3.65)
2.If the warehouse is located at an (x, y) of (8, 3), what would be the total transportation cost?
- $994,153
- $874,153
- $844,153
- $904,153
- $964,153
- $934,153
3.According to Weber’s classification of industries. A weight-losing production process should be located
- near the market.
- not necessarily near the raw material source or market.
- near the raw material source.
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