Find the transition points for the p-channel and n-channel

Question

For the CMOS inverter in Figure, let V_DD = 3.3 V,  = 100μA/V²,  = 40μA/V², V_TN = 0.4 V, and V_{T P} = -0.4 V.

(a) Let (W/L)_n = 2 and (W/L)_p = 5.

(i) Find the transition points for the p-channel and n-channel transistors.

(ii) Sketch the voltage transfer characteristics including the appropriate voltage values at the transition points.

(iii) Find v_I for v_O= 0.25 V and v_O = 3.05 V.

(b) Repeat part (a) for (W/L)_n = 4 and (W/L)_p = 5.