$3-$ Consider the $10-$part, $12-$machine data in the table below. Find a natural groupings of parts and machines. Suggest a set of par$($t$)/($m$)$achine groupings and sketch a diagram showing how the groups would be located with respect to one an$-$other. Only one machine of each type is to be used.$[$Hint: Use Binary Ordering Algorithm$]$

$\backslash$table$[[$Part Routing,$],[$Part$,$Sequence of Machines Visited$],[1,10789],[2,135411],[3,6122],[4,4113],[5,6431],[6,98712],[7,64111],[8,54311],[9,1098],[10,7109812]]$