Problem $3$: Examine the circuit below:

a$)$ Find the Thevenin equivalent circuit with respect to $R_L.$

b$)$ Convert the Thevenin equivalent circuit to a Norton equivalent circuit.

c$)$ Calculate the current, with direction, through $R_L.$

d$)$ Calculate the voltage, with polarity, across $R_L.$

e$)$ Find the resistance of $R_L$ in order for it to receive the maximum amount of power from the network.