\(\scriptsize Rac \, := \, \left(\begin{array}{rrr}1&3&5\\a&1&3\\2&c&6\\\end{array}\right)\)
\(\scriptsize Kbu \, := \, \left(\begin{array}{rrr}5&10&b\\5&15&0\\1&u&2\\\end{array}\right)\)
(Rac * Kbu) - Crb =0
\(\scriptsize \left(\begin{array}{rrr}0&5 \; u - 15&b - 8\\5 \; a - 10&10 \; a + 3 \; u - 29&a \; b - 16\\5 \; c - 15&15 \; c + 6 \; u - 63&2 \; b - 16\\\end{array}\right)\)
Löse LGS ===> \(\scriptsize \left\{ \left\{ a = 2, b = 8, c = 3, u = 3 \right\} \right\} \)
damit
\(\scriptsize K \; R \cdot \left( \begin{array}{r}20\\35\\ 15\\ \end{array} \right) - \left( \begin{array}{r}3400\\2230\\ 3800\\ \end{array} \right) \)= Rest/Bedarf
\(\scriptsize \)