As we all known, Production planning and scheduling is one of the important parts of food production production and management. Thus, the decision capacity of production planning will greatly and directly affect the economic benefits of companies and the development of operations. This study will describe the production scheduling problem of food production companies, by summarizing and review the previous studies, we specially introduce the use of programming optimization in food production production planning and scheduling and then analyze the instance son, build model using mathematics methods and finally solve the problem with software.