Design the circuit of the provided circuit image to satisfy the constraints as following except the output resistance objective is that the output current change less than 0.02 percent for a 1 V change in the output voltage:
(d) Transistor $M_2$ must operate in the active region for values of $V_{\text {OUT }}$ to within 0.2 V of ground.
(b) The output current must be $50 \mu \mathrm{~A}$.
(c) The output current must change less than 1 percent for a change in output voltage of 1 V .

Ignore the body effect for simplicity. Make all devices identical except for $M_4$.