Consider this circuit for a low$-$dropout regulator. $|V_{tp}|=1\mathrm{.}5V,k_p=100m\frac{A}{V^2},$ you may assume the op$-$amp is ideal and that its power supplies are connected to $V_{\text{I}}$ and ground.

a$.$ If everything is working correctly, what is the regulated output voltage $V_0?$

b$.$ What is the maximum current the regulator can output and still maintain regulation when $V_{\text{I}}=5V?$ You may ignore the current through the two sense resistors for this.

c$.$ What is the minimum $V_{\text{I}}$ required if you want the output to maintain regulation with an output current of $100$ mA $,$ and for the transistor to never leave saturation?