Question 1
A regional bookstore chain is about to build a distribution centre that is centrally located for its eight retail outlets. It will most likely employ which of the following tools of analysis?
◦ linear programming
◦ centre-of-gravity model
◦ assembly line balancing
◦ location assessment model
◦ load-distance analysis
Question 2
East Texas Seasonings is preparing to build one processing centre to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the centre of gravity?
| | X-coordinate | Y-coordinate | Volume |
| Athens, Texas | 30 | 30 | 150 |
| Beaumont, Texas | 20 | 10 | 350 |
| Carthage, Texas | 10 | 70 | 100 |
| Denton, Texas | 50 | 50 | 200 |
◦ X = 22000; Y = 24000
◦ X = 28.125; Y = 31.25
◦ centre of gravity = 24000
◦ centre of gravity = 28
◦ X = 27.5; Y = 40
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