A single-phase 100-kVA, 2400/240-volt, $60-\mathrm{Hz}$ distribution transformer is used as a step-down transformer. The load, which is connected to the 240 -volt secondary winding, absorbs $80 \mathrm{kVA}$ at 0.8 power factor lagging and is at 230 volts. Assuming an ideal transformer, calculate the following: (a) primary voltage, (b) load impedance, (c) load impedance referred to the primary, and (d) the real and reactive power supplied to the primary winding.