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A hardware distributor has regional warehouses at the locations shown below. The company wants to locate a new central distribution center to serve this warehouse

A hardware distributor has regional warehouses at the locations shown below. The company wants to locate a new central distribution center to serve this warehouse network

Location

(X, )

2,9

3, 8

4, 2

4, 7

8, 9

Weekly shipments to each warehouse will be: WH1, 100; WH2, 150; WH3, 120; WH4, 150; and WH5, 120. What is the optimal y-coordinate of the distribution center?

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