Problem #$1$: Thevenin Equivalent Circuits under AC Steady$-$State Conditions and Maximum Average Power Transfer

For the circuit shown below, the voltage in phasor form is widetilde$(v)=\frac{60}{{?}_{30}}V.$ Determine:

a$)$ The Thevenin equivalent circuit between terminals $A-B.$

b$)$ The value of a load impedance $Z_L$ connected between terminals $A-B$ of the circuit found in part a$)$ that ensures maximum power transfer.

c$)$ The value $P$ of the maximum power.