Heat is available at a rate of $2 \mathrm{~kW}$ from a thermal reservoir at $400 \mathrm{~K}$. A two-stage process harnesses this heat to produce power. Stages $1$ and $2$ reject heat at $360 \mathrm{~K}$ and $300 \mathrm{~K}$, respectively. Stage $2$ is driven by the heat rejected by Stage $1$. If the overall process efficiency is $50 \%$ of the corresponding Carnot efficiency, the power delivered by the process, in $\mathrm{kW}$, rounded off to $2$ decimal places, is $\_\_\_\_\_\_\_\_$.