Determine an initial basic feasible solution to the following transportation problem by using $($a$)$ North West Corner Method $($NWCM$)$

$($b$)$ Minimum Cost Method $($LCM$)($c$)$ Vagel's Method $($VAM$)$

$\backslash$table$[[,$Destination,,,$],[,,D_1,D_2,D_3,D_4,$Supply$],[$Source$,$A$,11,13,17,14,250],[$B$,16,18,14,10,300,],[,$C$,21,24,13,10,400],[,200,225,275,250,,]]$

$[8$ Marks$]$