Three loads are connected as shown below to a \( 120 \angle 0^{\circ} V \) rms source. Load 1 absorbs 60 \( kVAR \) at pf \( =0.85 \) lagging, load 2 absorbs \( 90 kW \) and \( 50 kVAR \) leading, and load 3 absorbs 100 \( kW \) at \( pf =1 \). Find:
a) Calculate the power factor of the parallel combination;
b) Determine the current supplied by the source;
c) The equivalent impedance.