To remove hardness from $580$ mg$/$L as CaCO$3$ to $80$ mg$/$L as CaCO$3,$ how much ion exchange resin $($capacity of $8$ meq$/$gram of resin$)$ would be needed for a city of the size of Peoria $($assume a population of $150,000$ and $400$ lpcd$)$ on a daily basis? How much would it cost for the treatment assuming $$200$ per m$3$ of resin used $($assume density of resin is $1\mathrm{.}3$ g$/$cc$)?$