ABSTRACT We revisit the joint pricing, supplier selection, and inventory replenishment problem for a single item in a two‐stage system examined by Adeinat and Ventura (2015) and use the logit function to model the price‐sensitive demand. This article provides a detailed analysis regarding the shape and properties of the logit demand function. In this context, we propose a two‐stage piecewise‐linear approximation technique to solve the integrated pricing, supplier selection, and inventory replenishment model. Besides, in this research, we provide sufficient justification for the selection of the logit demand function as well as a comparison with other demand functions. A numerical study further suggests the importance of using a precise demand curve to select the set of suppliers, coordinate inventory, and accurately optimize the profit function.