Solve the Transportation problem given below. For initial solution use Least cost method and optimum solution by modified distribution method.

$\backslash$table$[[,,$Sources,Demand$],[,,A,$B$,$C$,$D$],[$Destinations$,1,5,4,2,6,20],[2,8,3,5,7,30],[3,5,9,4.,6,50],[$Supply$,10,40,20,30,]]$

$(6$ marks$)$