(1 point)
A certain practical current source provides 0.0757396449704142 W to a 80 $\Omega$ load. That same practical current source provides 0.144861928474423 W to an 500 $\Omega$ load. If the same practical current source had a resistance $R_L$ is connected to it, creating a voltage across $R_L$ of $v_L$ and a current through $R_L$ of $i_L$. Find the values of $R_L$, $v_L$, and $i_L$ if
(a) $v_L \times i_L$ is maximum
(b) $v_L$ is a maximum
(c) $i_L$ is a maximum.
(a) $R_L = \boxed{} \Omega$, $v_L = \boxed{} V$, $i_L = \boxed{} A$
(b) $R_L = \boxed{} \Omega$, $v_L = \boxed{} V$, $i_L = \boxed{} A$
(c) $R_L = \boxed{} \Omega$, $v_L = \boxed{} V$, $i_L = \boxed{} A$
