$($a$)(10$ points$)$ What is the logic function that is implemented by the gate in the figure?

$V_O=$

$($b$)(5$ points$)$ What type of MOSFET is connected to the positive terminal of the power supply? Circle your answer: Depletion$/$Enhancement$-$mode PMOS$/$NMOS

$($c$)(10$ points$)$ What are the $\frac{W}{L}$ ratios for all of the transistors if the design will have twice the static power compared to the reference inverter. The reference inverter has $(\frac{W}{L}{)}_L=1\mathrm{.}81$ and $(\frac{W}{L}{)}_S=2.$ Write your answer on the schematic.