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A regional healthcare system operates multiple clinics and is planning to establish a central pharmacy hub that must be located at one of the existing clinics to minimize the average travel distance for delivering medications to patients across the region. There are five clinics in the region, each with a different number of patients and locations as given in the following table:

$\backslash$table$[[$Clinic Name,Location Coordinates,Number of Patients$],[$Sunshine Health,$(10,30),150],[$River Clinic,$(20,40),200],[$Green Park Care,$(50,20),300],[$Urban Wellness,$(40,50),250],[$Mountain View,$(30,10),100]]$

a$.$ Using the center$-$of$-$gravity method, what coordinates should the central pharmacy hub be placed?You must show all work or paste Excel formulas to get credit for the problem.