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überflüssiges Plus entfernt

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Jim Martens
2013-10-30 17:57:15 +01:00
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optimierung/Uebungsblatt2.tex
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@ -97,7 +97,7 @@ Stephan Niendorf (6242417)}
&=&& \frac{3}{2} + \frac{1}{2}x_{3} - \frac{1}{6}x_{4} - \frac{1}{3}x_{5} \\ &=&& \frac{3}{2} + \frac{1}{2}x_{3} - \frac{1}{6}x_{4} - \frac{1}{3}x_{5} \\
x_{6} &=&& \frac{4}{3} - \frac{1}{3}\left(\frac{5}{2} - \frac{1}{2}x_{3} - \frac{1}{2}x_{4}\right) + \frac{1}{3}x_{3} + \frac{1}{3}x_{5} \\ x_{6} &=&& \frac{4}{3} - \frac{1}{3}\left(\frac{5}{2} - \frac{1}{2}x_{3} - \frac{1}{2}x_{4}\right) + \frac{1}{3}x_{3} + \frac{1}{3}x_{5} \\
&=&& \frac{1}{2} + \frac{1}{6}x_{3} + \frac{1}{6}x_{4} + \frac{1}{3}x_{3} + \frac{1}{3}x_{5} \\ &=&& \frac{1}{2} + \frac{1}{6}x_{3} + \frac{1}{6}x_{4} + \frac{1}{3}x_{3} + \frac{1}{3}x_{5} \\
&=&& \frac{1}{2} + \frac{1}{2}x_{3} + \frac{1}{6}x_{4} + + \frac{1}{3}x_{5} \\ &=&& \frac{1}{2} + \frac{1}{2}x_{3} + \frac{1}{6}x_{4} + \frac{1}{3}x_{5} \\
z &=&& 4 + 3\left(\frac{5}{2} - \frac{1}{2}x_{3} - \frac{1}{2}x_{4}\right) - 2x_{5} \\ z &=&& 4 + 3\left(\frac{5}{2} - \frac{1}{2}x_{3} - \frac{1}{2}x_{4}\right) - 2x_{5} \\
&=&& \frac{23}{2} - \frac{3}{2}x_{3} - \frac{3}{2}x_{4} - 2x_{5} \\ &=&& \frac{23}{2} - \frac{3}{2}x_{3} - \frac{3}{2}x_{4} - 2x_{5} \\
&=&& \frac{23}{2} - \frac{3}{2}x_{3} - \frac{3}{2}x_{4} - 2x_{5} &=&& \frac{23}{2} - \frac{3}{2}x_{3} - \frac{3}{2}x_{4} - 2x_{5}