We wish to design the common source amplifier in the provided circuit image with minimal power consumption while providing a $3-\mathrm{dB}$ bandwidth of 5 MHz and a gain of at least 20 with $\mathrm{C}_{\mathrm{L}}=10 \mathrm{pF}$ and $\mathrm{R}_{\mathrm{s}}=1 \mathrm{k} \Omega$. The ideal current source $\mathrm{I}_{\text {bias }}$ is $50 \mu \mathrm{~A}$.