A biogas plant will be built on a farm. You have access to $5000$ m$3$ liquid $(8\%$ dry matter$)$ and$200$ tons of solid manure $(24\%$ dry matter$),$ per year as substrates. Conversion table: $1$ Nm$3$ rawbiogas, $60\%$ methane $=6$ kWh$,1$Nm $3$ vehicle gas, $97\%$ methane $=9,7$ kWhYou are also planning for $30$ days residence time for the substrates in the reactor.a$)$ Which dry matter will the substrate have in average?b$)$ How big reactor do You have to build?c$)$ Which OLR $($Organic Loading Rate$)$ will the reactor have? $($kg dry matter$/$m$3$ reactor volumeand $24$ hours$)$