Question $2$:

For the balanced transportation tableau and its starting basic feasible solution $($BFS$)$ given below, find out the optimal solution using Transportation Simplex. Basic variables are shown in red. Does it have multiple optimal solution.

Destination $1,$ Destination $2$ Destination $3,$ Dummy $,$ Supply

Source $1$

Source $2$

Source $3$

$\backslash$table$[[60,40,28,120],[\backslash$table$[[,50],[100,]],\backslash$table$[[,30],[40,]],30,10],[43,\backslash$table$[[,20]],100,0]]$

$120$

$150$

Demand

$100$

$100$

$100$

$130$