Practical Management Science
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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