The purpose of this study is to consider models for the production planning of multiproduct. Because these multiproducts use common facilities, labor, and materials, they are able to be considered jointly instead of planned independently. Initially linear programming models will be considered, followed by some examples of modeling and analysis when the cost structure is nonlinear. Basic model components are the following ; (1) inventory balance equations for each product to link successive time periods, and (2) capacity constraints for each period to represent resource limitations.