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A restaurant wants to locate themselves somewhere in the NRV$.$ They have identified their four many markets as Radford, Blacksburg, Salem, and Roanoke. They have also determined that each of these cities has a certain weight, with the higher the weight the more important the city. The weights and coordinates of the cities are given below.

City X Coordinate Y Coordinate Weight

Radford $-2-31$

Blacksburg $113$

Salem $893$

Roanoke $4-21$

Determine the optimal $($X$,$Y$)$ coordinates of where to build the restaurant.