The paper presents a certain approach to fleet management in the company, taking into account the mobility of employees and the selection of vehicles for tasks. The main objective is to indicate the factors that significantly affect the proper selection of vehicles for the task, as well as concurrently meeting recipients' needs. The general model for fleet management was presented, taking into account not only the mobility of employees but also the method of obtaining funds for the replacement of greener cars. The current approach is based on the car purchase model in the form of credit, low-purchase leasing, and supervision over the use process and operating costs by the company's internal resources. The problem solved in the article concerns the analysis of entrusting fleet management to specialized Car Fleet Management (CFM) companies. It was pointed out that in this calculation model, CFM companies have to take into account many variables related to vehicle selection and mobility of employees in order to perform tasks. In this article, particular attention has been paid to the areas that CFM analyses when choosing a vehicle for a given company.