Q$.3$ P & T Co$.$ Ltd$.$ manufactures consumer durables at four plants P$1,$ P$2,$ P$3,$ P$4$ located at

various regions of the country so as to minimize its cost of labour and transportation to

market. The company has three warehouses W$1,$ W$2,$ W$3$ which transport the goods further

to company appointed dealers. The demand at each warehouse, capacity of each plant and

per unit cost of transportation is given below. Find the initial basic feasible solution using

Vogel's approximation method to minimize the total trarisportation cost.