A building has a total load of 150 kVA and a power factor of 0.85 (lagging). Among the electrical load, there is a 40 HP, three-phase, 60 Hz, 480 V induction motor with an efficiency of 0.92 and a power factor of 0.80 (lagging). Calculate the following:

(a) The line current required by the building.

(b) If a synchronous motor of the same size, the same energy efficiency, and the same power factor (but leading) is used instead of the induction motor, estimate the overall new power factor of the building.

(c) The line current of case (b). Compare this current to the line current obtained for (a). Comment on the advantages of case (b)?