$($WATER SOFTENING $-40$ points$)$ A groundwater supply has the following analysis:

$C{a}^{2+}=108m\frac{g}{l}$

$M{g}^{2+}=44m\frac{g}{l}$

$N{a}^{+}=138m\frac{g}{l}$

$HC{O}_3^{-}=146m\frac{g}{l}$

$S{O}_4^{2-}=110m\frac{g}{l}$

$C{l}^{-}=336m\frac{g}{l}$

Calculate the quantities of lime and soda ash for excess$-$lime softening. Assume that the practical limits of hardness removal for calcium are $30m\frac{g}{1}$ as CaCO $3$ and for magnesium are $10m\frac{g}{1}$ as CaCO $3.$