$(25$ points$)$ For the circuit in Figure $2$:

Figure $2$: Circuits for Problem $2.$

$($a$)$ Find three equations for mesh currents $I_1,I_2,$ and $I_3.$

$($b$)$ Solve these equations to determine the values of $I_1,I_2,$ and $I_3.$

$($c$)$ Calculate the power delivered by the current source.

SOLVE ASAP