An air$-$standard Dual cycle has a compression ratio of $18$ and a cutoff ratio of $1\mathrm{.}1.$ The pressure ratio during the constant$-$volume heat addition process is $1\mathrm{.}1.$ At the beginning of the compression, P$1=90$ kPa, T$1=18$C$,$ and V$1=0\mathrm{.}005$ m$3.$ How much power will this engine produce per thermodynamic cycle $($i$.$e$.$ kJ$/$cycle$)?$ Use constant specific heats at room temperature