Question: A county wants to build one centrally-located processing facility to serve the county's three recycling drop-off locations. These drop-offs have characteristics as given in the
A county wants to build one centrally-located processing facility to serve the county's three recycling drop-off locations. These drop-offs have characteristics as given in the table below. What is the total transportation cost of this network?
| Location | Coordinates | Volume (tons) | Rate ($/ton-mile) | |
| X | Y | |||
| No. 1 | 4 | 8 | 10 | $2.00 |
| No. 2 | 5 | 7 | 30 | $2.00 |
| No. 3 | 6 | 2 | 20 | $1.00 |
a. Use the centroid method to determine a location for this new facility. (Round your answers to 1 decimal place.)
X-Coordinate: Y-Coordinate:
b. What is the TOTAL DISTANCE travelled by trucks, when providing this service
miles
C. What is the TOTAL TRANSPORTATION COST of this network?
$
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