The load in a building panel is 120 kW at 480 V and is three-phase with a low power factor of 0.75 lagging. This power factor is to be corrected to 0.95 lagging. A motor rated at 60 Hz, 70 HP, 1200 rpm, and an efficiency of 0.88 is used to correct the system power factor. The panel is operating 5500 h/year. Determine

(a) The current before the power factor correction

(b) The type, the number of poles, and the power factor of the motor

(c) The real power and the current of the system after the power factor correction

(d) An estimate of the annual cost increase or decrease in supplying power to the panel by adding the motor if the demand charge is \($20/kVA/month\) and the energy charge is \($0.05/kWh\)