A Company has three factories A$,$ B and C which supply to four warehouses P$,$Q$,$R and S$.$

The monthly production capacity in tons at A$,$B and C is $120,80$ and $200$ respectively. The monthly requirement in tons for the warehouses P$,$Q$,$R and S is $60,50,140$ and $50$ respectively. The transportation cost in K per ton is given below;

Factories Warehouse A B C

P $437$

Q $584$

R $247$

S $584$

Using V$.$A$.$M$,$ determine the transportation schedule that minimise the total transportation cost