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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