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Question
| Collection Point | Weight | X coord | Y coord |
| A | 9,000 | 4 | 8 |
| B | 4,000 | 7 | 2 |
| C | 2,000 | 4 | 1 |
| D | 5,000 | 7 | 3 |
| Sum | 20,000 | 22 | 14 |
| Average | 5.5 | 3.5 | |
| Weighted Average | 5.35 | 4.85 |
Key Term: Center-of-gravity method
39) A manufacturer of stamped metal auto parts has four parts factories in one city at the location coordinates shown below. Each coordinate unit represents a city block (roughly 100 meters). The yearly demand at each factory is also given.
| Factories | Demand | X-Coord. | Y-Coord. |
| RayburnIndustrial Park | 19,000 | 20 | 130 |
| Port of Zavalla | 3,000 | 60 | 40 |
| HendersonMfg.Center | 5,000 | 70 | 100 |
| Wax Mills Site | 6,000 | 90 | 30 |
Management has decided to build a new sheet metal mill, to supply these factories, at a location central to these plants. What should be the map coordinates of the new plant?
Answer: The mill should be located near (44, 99).
Answer
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Weight Day
Package 1
Package 2
Package 3
Package 4 Monday
23
22
23
24 Tuesday
23
21
19
21 Wednesday
20
19
20
21 Thursday
18
19
20
19 Friday
18
20
22
20 (a) If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces, the control chart is based on what value of z?
(b) With the UCL and LCL of part a, what do you conclude about this processis it in control?
Answer:
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