Determine the lime and soda ash dose, in $m\frac{g}{L}$ as CaO and $N{a}_{2}C{O}_3,$ to soften the following water to a final hardness of less than $130m\frac{g}{L}$ as $CaC{O}_3.$ The ion concentrations reported below are all $m\frac{g}{L}$ as $CaC{O}_3.$ Assume no bypass$/$blending$.$

$\backslash$table$[[$Compound$,$Concentration as $($:$CaC{O}_3\}$