PROBLEM $3$

In a transportation problem, a company needs to ship products from $2$ warehouses $($W$1,$ W$2)$ to $3$ destinations $($D$1,$ D$2,$ D$3).$ The shipping cost per unit is given as follows:

$\backslash$table$[[,$D$1,$D$2,$D$3],[$W$1,2,4,5],[$W$2,3,1,7]]$

Warehouse supplies and destination demands are $50$ units each. Determine the initial feasible solution using the Northwest Corner Method.