Consider the transportation problem and its optimal solution in the tables below. The cell Source $3-$ Destination $3$ is currently empty. What would be the change in the objective function if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged?

$\backslash$table$[[$COSTs$,$Dest. $1,$Dest. $2,$Dest. $3,$Dest. $4,$Supply$],[$Source $1,12,18,9,11||,105],[$Source $2,19,7,30,15,145],[$Source $3,8,10,14,10,50],[$Demand$,80,60,70,90,3001300],[,,,,,],[$Shipments$,$Dest. $1,$Dest. $2,$Dest. $3,$Dest. $4,$Row Total$],[$Source $1,30,0,70,5,105],[$Source $2,0,60,0,85,145],[$Source $3,-50,0,0,0,50],[$Col$.$ Total,$80,60,70,90,\frac{300}{\frac{?}{?}}300$