@ARTICLE{Franik_Tadeusz_The_2007, author={Franik, Tadeusz}, number={No 3}, pages={35-48}, journal={Gospodarka Surowcami Mineralnymi - Mineral Resources Management}, howpublished={online}, year={2007}, publisher={Komitet Zrównoważonej Gospodarki Surowcami Mineralnymi PAN}, publisher={Instytut Gospodarki Surowcami Mineralnymi i Energią PAN}, abstract={In article the problem of estimation of optimum expenditure of factors of productions such work and capital in mining of hard coal was presented. As criterion of optimization was applied the minimization of cost of producing. The value of production was circumscribed the exponential function of Cobb-Douglas type, and the cost of production - the linear function. Regard on character of function of aim, to solution of question was applied non - linear programming method after introduction to function of indeterminated Lagrange factors.}, title={The attempt of optimization of expenditures factors 'production in mining of hard coal from to use the non - linear programming}, type={Artykuł}, URL={http://journals.pan.pl/Content/133678/PDF/5_GSM_23_3_2007_Franik_Proba.pdf}, keywords={Mining industry in Poland, factors of production, function of production, non-linearprogramming, mining of the hard coal}, }