@article{2017,title={THE MATHEMATICAL ANALYSIS OF A FACTORY PRODUCTION STATE UNDER RESTRICTED CONDITIONS},abstractNode={Although the Simplex method and graphical solution are applicable to all linear programming problems such as mixing problems, determination of optimum production schedule, job and wage evaluation, storage problems, optimization of material usage, long term planning studies and optimization of structural problems, some types of problems can be solved more effectively using other methods. On the other hand, by depending on the parameters used in the model with the help of qualitative analysis of the model due to modeling with a system of differential equations, the variables have optimized the issue at which time interval and which values will reach. In this respect, the results of qualitative analysis can be checked by numerical simulation of the system. In this study, the production planning of an factory under various restrictive conditions has mathematically modelled by systems of differential equations. This model has examined qualitatively and the results of the analysis have supported by numerical simulations. Subsequently, linear programming model (DP) which is equivalent this model, has presented. The DP model has solved via both graphically and the simplex method. In the comparative interpretation of the solutions of these two models, the related between the results of the mathematical model found and related to the optimal result of the DP model has interpreted, when the factory can not intervene in the production plan and profitability to be achieved.},author={Bahatdin DAŞBAŞI-- Derviş BOZTOSUN - Semra AKSOYLU},year={2017},journal={The Journal of Academic Social Science}}