Calculate the biogas produced $($m$3/$d$)$ in a plant for the output of $680$ Chickens, if the gas formation rate from Chicken manure is $0\mathrm{.}50$ m$3/$kg of manure and the manure production rate is $0\mathrm{.}06$ kg$/$d$/$head$.$

$($a$)20\mathrm{.}4$

$($b$)16\mathrm{.}2$

$($c$)23\mathrm{.}8$

$($d$)11\mathrm{.}5$