Sijang is a Korean company selling K$-$pop music albums worldwide. It is wellknown for its fast and reliable shipping service. Willie Perez is a regional

manager working for Sijang. He is in charge of transportation in Southeast

Asia. The company plans to build a new Distribution Center $($DC$)$ to meet the

increasing demand in Southeast Asian countries. The new DC will be serving

the three regional Fulfillment Centers. Willie Perez was asked to recommend

an ideal location for the new DC$.$

Based on the X and Y coordinates of each Fulfillment Center provided in

Table $1,$ use the Weber method to find the most convenient location for the

new DC$.$ Note that Willie Perez assumes Euclidean space.

Table $1$: Coordinates and demand $($in pallets$)$ per Fulfillment Center

X CoordinateY CoordinateDemand $($in pallets$)$

Fulfillment Center $13412274$

Fulfillment Center $2558310$

Fulfillment Center $311025177$

What is the weighted X coordinate for the new DC$?$