In the circuit shown in Eigure P10.12, the MOSFET operates in the saturation region, for $I_S=0.5 \mathrm{~mA}$ and $V_S=3 \mathrm{~V}$. This enhancement-type PMOS has $V_t=-1 \mathrm{~V}$, and $K=0.5 \mathrm{~mA} / \mathrm{V}^2$. Find:
a. $\quad R_S$ and the ratio $R_1 / R_2$.
b. The largest allowable value of $R_S$ for the MOSFET to remain in the saturation region.
Figure P10.12