Q) A discount store chain wants to build a new superstore in an area in Melbourne near four small towns with populations between 10,000 and 40,000. The coordinates (in miles) of these four towns and the market population in each are as follows: Coordinates Carlton St Kilda Ballarat Frankston 12 18 30 32 20 12 8 25 Population 18,000 17,000 10,300 10,000 a) Determine the best site using the center-of-gravity technique. b) Suppose the store is limited to two possible sites for locating a new superstore. The coordinates (in miles) of these two potential sites are site 1 (10, 30) and site 2 (20, 10). Using the load-distance technique, determine the best site for the new super store. c) Plot the four small towns and the proposed new distribution centers according to center of gravity method and load-distance method on a grid map. Give your own opinion about it.

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Q) A discount store chain wants to build a new superstore in an area in Melbourne near four small towns with
populations between 10,000 and 40,000. The coordinates (in miles) of these four towns and the market population
in each are as follows:
Coordinates
Carlton
St Kilda
Ballarat
Frankston
12
18
30
32
20
12
8
25
Population
18,000
17,000
10,300
10,000
a) Determine the best site using the center-of-gravity technique.
b) Suppose the store is limited to two possible sites for locating a new superstore. The coordinates (in miles) of
these two potential sites are site 1 (10, 30) and site 2 (20, 10). Using the load-distance technique, determine
the best site for the new super store.
c) Plot the four small towns and the proposed new distribution centers according to center of gravity method
and load-distance method on a grid map. Give your own opinion about it.
Transcribed Image Text:Q) A discount store chain wants to build a new superstore in an area in Melbourne near four small towns with populations between 10,000 and 40,000. The coordinates (in miles) of these four towns and the market population in each are as follows: Coordinates Carlton St Kilda Ballarat Frankston 12 18 30 32 20 12 8 25 Population 18,000 17,000 10,300 10,000 a) Determine the best site using the center-of-gravity technique. b) Suppose the store is limited to two possible sites for locating a new superstore. The coordinates (in miles) of these two potential sites are site 1 (10, 30) and site 2 (20, 10). Using the load-distance technique, determine the best site for the new super store. c) Plot the four small towns and the proposed new distribution centers according to center of gravity method and load-distance method on a grid map. Give your own opinion about it.
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