LINEAR PROGRAMMING IN PRODUCTION OPTIMIZATION

U ovom završnom radu definiran je proizvodni problem jednog poduzeća te riješen različitim metodama linearnog programiranja. Definirani problem s prikupljenim tehnološkim i ekonomskim podacima je pretvoren u matematičke ovisnosti, tj. matematički model, čiji je cilj odrediti maksimalnu dobit pri izradi dva različita proizvoda uz zadana ograničenja, a riješen je pomoću tri metode, analitičkom, grafičkom i simplex metodom. Problem je riješen i primjenom računalnog programa Scilab i alata Rješavač u MS Excel-u. U zaključku je provedena usporedba svih korištenih metoda.In this bachelor thesis, the formulated production problem of a company is solved by different linear programming methods. The formulated problem with collected technological end economical data is transformed into the mathematical dependences, i.e. mathematical model, aimed at determining the maximum profit when producing two different products with the given constraints. The model is then solved using the three methods, analytical, graphical and simplex method. The problem was also solved by using the Scilab computer program and Solver tool in MS Excel. In conclusion section, the used methods are compared