A factory has the following four major loads:
• A motor rated at 5 hp, 0.8 pf lagging (1 hp = 0.7457 kW).
• A heater rated at 1.2 kW, 1.0 pf.
• Ten 120-W lightbulbs.
• A synchronous motor rated at 1.6 kVA, 0.6 pf leading.
(a) Calculate the total real and reactive power.
(b) Find the overall power factor.