To date, in the production and management of the food industry, the mathematical foundations of solving problems according to one criterion (one-criterion optimization) have been well studied. However, in various areas of engineering solutions, there are multicriteria problems in which a system or process must be optimized according to several criteria simultaneously. Since individual criteria usually conflict with each other, as a rule, no set of input parameters would achieve the optimum of all criteria simultaneously. In this regard, there is uncertainty in the choice of the optimal solution and the complexity of the choice of a specific mathematical method. The authors have made a brief review of publications devoted to the application of multicriteria optimization in food production. As a result, it turned out that in most of the reviewed publications, a preliminary examination of the problem was not carried out, and the solution method was chosen according to the principle of the greatest simplicity. At the same time, it is known that there is no universal method for solving multicriteria problems and the use of each algorithm is associated with rather strict restrictions and assumptions. In this regard, the authors dedicated this work to the presentation of a typical information technology for solving a multi-criteria production problem in the food industry using standard means of computer mathematics - the MathCad system, taking into account all methodological recommendations. As an example, the problem of multicriteria optimization of the process of melting ostrich fat was considered, the conditions of which were taken from an open source. As a result, the optimal parameters of the process were found in the presence of two and three criteria of optimality. The described technology can be used as a basis for solving other multi-criteria optimization problems of food production.