A small factory has two types of loads (balanced 3 phase Wye connected). Lighting accessories with a total power of 6 kW at unity power factor. Two electric machines rated 13.5 kVA each operating at a power factor of 80 %. Assume standard line voltage of 380 V rms and 60 Hz. a) Find the total apparent power and the power factor of the supply. b) Find the line current supplied to the load. c) Draw the power phasor diagram for the supply