Question 1
Environmental Glass Products, Inc. wants to build a new centralized facility to receive household, commercial, and industrial glass for recycling. This centre will be supplied by trucks coming from four "collection points," where recyclable glass is dropped off by individuals and businesses. The volume and the map coordinates for the four collection centres are shown below. Where should the collection centre be located?
| Collection point | Load | (X,Y) Coordinates |
| A | 9,000 | (4,8) |
| B | 4,000 | (7,2) |
| C | 2,000 | (4,1) |
| D | 5,000 | (7,3) |
Question 2
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. |
| Rayburn Industrial Park | 19,000 | 20 | 130 |
| Port of Zavalla | 3,000 | 60 | 40 |
| Henderson Mfg. Centre | 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? On the grid below, graph the locations of the four parts factories and the proposed sheet metal mill.
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