diff --git a/optimierung/Uebungsblatt1.tex b/optimierung/Uebungsblatt1.tex index 240bd15..30f8c01 100644 --- a/optimierung/Uebungsblatt1.tex +++ b/optimierung/Uebungsblatt1.tex @@ -86,4 +86,14 @@ \multicolumn{12}{r}{$x_{1}^{'}, x_{1}^{''}, x_{2}, x_{3}, x_{4}^{'}, x_{4}^{''}$} \,&\geq &\, 0 \end{alignat*} \subsection{} %b + \begin{alignat*}{10} + \text{maximiere}\; & 5a_{1} &+& 13a_{2} &+& 8a_{3} &+& 9b_{1} &+& 15b_{2} &+& 12b_{3} &+& 5c_{1} &+& 14c_{2} &+& 10c_{3} && \\ + \multicolumn{20}{l}{\text{unter den Nebenbedingungen}} && \\ + & a_{1} &+& a_{2} &+& a_{3} && && && && && && &\leq &\, 400 \\ + & && && && b_{1} &+& b_{2} &+& b_{3} && && && &\leq &\, 480 \\ + & && && && && && && c_{1} &+& c_{2} &+& c_{3} &\leq &\, 230 \\ + & && a_{2} && && &+& b_{2} && && &+& c_{2} && &\leq &\, 420 \\ + & && && a_{3} && && &+& b_{3} && && &+& c_{3} &\leq &\, 250 \\ + \multicolumn{18}{r}{$a_{1}, a_{2}, a_{3}, b_{1}, b_{2}, b_{3}, c_{1}, c_{2}, c_{3}$} \,&\geq &\, 0 + \end{alignat*} \end{document}