An offshore wind farm with $82$ turbines $($horizontal axis wind turbines, HAWT$)$ isoperating under the following conditions: Wind speed u $=14$ m$/$s Diameter of wind turbine rotor d $=112$ m Rotor power coefficient Cp $=0\mathrm{.}42$ Electric generator efficiency g $=0\mathrm{.}97$ Wind farm capacity factor CF $=0\mathrm{.}59$ The air density is $=1\mathrm{.}2$ kg$/$m$3$Determine $($i$)$ the wind turbine power input and output, $($ii$)$ the wind farm's total electrical poweroutput, and $($iii$)$ the farm's annual electricity production $($GWh$).$