In this paper, we study the supply chain configuration problem (SCCP) under resource constraints. We present a new modeling framework based on multi-mode resource-constrained project scheduling (MRCPSP) for configuring the supply chain subject to explicit resource constraints. It establishes a bridge between the areas of project scheduling and supply chain design. Our model is also able to handle additional practical issues such as quality level requirements and general temporal constraints, which are often encountered in the real world. A constraint programming (CP) based solution approach is proposed and implemented in our case study. Conclusions and future research directions are discussed.