Contemporary supply chain management  systems need not only be  adaptive to changing needs of to consumers but also to the varying terms amongst the members of the supply chain. Moreover, the on time availability  of services and goods is imperative for retaining  customers.  Hence, irrespectiespective of a new supplier supplier becoming a partner of the supply chain or an old  supplier exiting the business, the demand must be met keeping  cost constraints into  account. Supply chain management is a cross-functional approach that involves managing  the movement of raw materials materials into an organization,  processing  of materials  into finished goods and finally finally providing finished  goods to the end  consumers. In this paper, the concept of SCM has been perused with the approach of network flows applying applying maximum flow network algorithm of graph.