| Location | X-coordinate | Y-coordinate | Tonnage |
|---|---|---|---|
| Drop-off point A | 1 | 8 | 10 |
| Drop-off point B | 6 | 7 | 35 |
| Drop-off point C | 6 | 2 | 25 |
| Drop-off point D | 4 | 7 | 50 |
Solution:
The center of gravity of the given four locations is calculated as,
X = Sum of (Xi x Tonnage) / Total tonnage
Y = Sum of (Yi x Tonnage) / Total tonnage
Total tonnage = 10 + 35 + 25 + 50 = 120
X = [(1 x 10) + (6 x 35) + (6 x 25) + (4 x 50)] / 120
X = 4.75
Y = [(8 x 10) + (7 x 35) + (2 x 25) + (7 x 50)] / 120
Y = 6.04
Answer: D. (4.75, 6.04)
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