$(5,5)$

$($a$)$ ABC manufacturing company plans to build a warehouse to serve its distribution centres in Kolkata $($West Bengal$),$ Faridabad $($Haryana$),$ Nagpur $($Maharashtra$)$ and Raipur, $($Chhattisgarh$).$

The number of units to be shipped monthly from Company's warehouse to the distribution centres are shown in Table:

$\backslash$table$[[$Location$,\backslash$table$[[$Annual Shipping$],[$Volume$]],\backslash$table$[[$Coordinates in Km$],[$X$]],\backslash$table$[[$Coordinates ir$],[$Y$]]],[$Kolkata$,10,\frac{000}{-},320,252],[$Faridabad$,14,\frac{500}{-},265,185],[$Nagpur$,18,\frac{600}{-},421,362],[$Raipur$,23,\frac{200}{-},125,95]]$

Find the appropriate location of the warehouse?