Methods to design viable business networks (BNs) treat the concept of viability merely in terms of profitability. Further, the methods are restricted to mono-commodity (a single product or a service) BNs. However, business literature suggests that besides economic value (profit), non-economic values (e.g. lowering CO2 emission) play an important role in making BNs viable. Furthermore, BNs can also be multi-commodity (e.g. electricity, gas, heat). Hence, we aim to develop an method to determine a viable configuration of services for multi-commodity BNs. In addition, the term viability is used in an extended scope to include non-economic values.