In this thesis, the possibilities of using selected computer programmes for optimisation and statistical modelling are explained and analysed. The solving of quantitative optimisation models is presented on the basis of two defined problems. For the first problem (optimisation of production) the computer programmes MS Excel (Solver-Tool) and GNU Octave were used. The objective of the optimisation was the maximum profit for the production of two products from four parts. In this case, the mathematical model is set up in two different ways. The second problem (transport) was solved using the MS Excel programme. The task was to determine how much material should be transported from which warehouse in order to achieve the minimum total cost of delivering the required amount of material to the companies. Using the R programming language and the RStudio user interface, the case of the same problem was solved, where it was not possible to transport material from a specific warehouse to a specific company. The second part of the thesis presented the creation of statistical quantitative models for the turning experiment carried out on a CNC lathe, where the useful power was the dependent variable and the cutting speed and the number of passes were the independent variables. The regression model was created using the MS Excel programme in three different ways, one of which is the use of the Regression tool and the use of the R programming language with the necessary functions for regression modelling.