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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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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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