This work aims to increase the effectiveness of case studies, taking into account the specifics of decision-making (using examples, tasks, business cases) in the status aspects of the successful activities of managers: the formation and selection of optimal (rational, non-dominated) additive and hierarchical individual and (or ) group decisions (especially targeted programs) taking into account risks. The book represents a holistic and consistent view of the important, in the authors’ opinion, theoretical, cognitive and practical foundations of using analytical tools in the theory of management and decision making in the implementation of the main function of a manager. At the same time, the educational and methodological emphasis is placed on an innovative approach to teaching in the case study format when considering topics that have not yet been reflected in a concentrated form in numerous and very voluminous traditional textbooks. The educational and methodological manual is intended for the professional training of bachelors and master's students of all economic directions, students of advanced training programs, professional retraining and MBA, ExvMBA, DBA, teachers of management disciplines. The publication is of interest not only to those who are preparing themselves for professional management activities, but also to practicing managers aimed at the success of their business activities.