Bosch has established a distribution network for the supply of washing machines from its three plants to three warehouses. The current network has the following characteristics:

COSTS

Warehouse $1$

Warehouse $2$

Warehouse $3$

Ambala

$8$

$6$

$9$

Vellore

$10$

$9$

$12$

Goa

$7$

$4$

$3$

Supply

$300$

$500$

$400$

Demand

$350$

$450$

$400$

The unit costs, supply and demand are given in the table. Apply NWC method to identify the initial feasible solution and further identify optimal solution.