Problem 1: An industrial customer with a three-phase, 480 V service entrance is running the following set of loads: . • Two 15 HP, 89% efficient lathes, 0.79 lagging power factor One 7 ton heat pump¹ with a COP of 1.9 and a 0.95 lagging power factor Two electric autoclaves, 30 BTU/h, 98% efficient, 0.97 lagging PF One 25 kW high-intensity discharge (HID) lighting system, unity PF If the lighting system is replaced with a T8 fluorescent system with magnetic ballast that consumes 25% less than the previous system, but introduces a 0.91 leading power factor, by how much does the service entrance current change? Consider the case when all systems are fully loaded. Consider the AC load under the new lighting regime. Use the NFPA 70 to determine the minimum allowed gauge of the service conductors. Feeder lines are copper, with a 60 °C temperature rating, contained within a raceway with an ambient temperature of 40 °C. Start with article 310.15; state the specific article(s)/tables used to determine your answer.