The no-load input power to a 50-kVA, 23001230-V, single-phase transformer is 200 VA at 0.15 PF at rated voltage. The voltage drops due to resistance and leakage reactance are 0.012 and 0.018 times rated voltage when the transformer is operated at rated load. Calculate the input power and power factor when the load is 30 kW at 0.8 PF lagging at rated voltage. Verify your solution using MATLABTM.