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A new plant must be built to service the carpet mills at the following four locations, where X and Y specify coordinates on an X,Y

A new plant must be built to service the carpet mills at the following four locations, where X and Y specify coordinates on an X,Y grid.

Location

Carpet Mill

X

Y

Dalton

9

43

Rome

2

28

Canton

51

36

Kennesaw

19

4

The number of annual deliveries to each of the carpet mills is shown below.

Annual

Deliveries

Dalton

130

Rome

75

Canton

90

Kennesaw

80

The plant cannot be more than 50 miles from any of the mills. Where should the plant be located to minimize the total annual shipping miles traveled between the new plant and all of the mills?

Use the Multistart option, and assume that the location of the plant must be between 0 and 100 for both X and Y.

Please use excel

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