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

$(6$ marks$)$

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