When designing a new family of products, designers and manufacturers must define the product family and its supply chain simultaneously. At the very first step of the design process, designers propose solutions of product decompositions. The second step is to select some of these decompositions while choosing the architecture of the supply chain. A mixed integer linear programming model is investigated that optimizes the operating cost of the resulting supply chain while choosing the product decompositions. This work is applied to an industrial problem of an automotive supplier.