In Figure P16-51, the three buses are interconnected by transmission lines with wire impedances of \(Z_{\mathrm{W}_{1}}=150+j 600\) \(\Omega /\) phase and \(Z_{\mathrm{W} 2}=200+j 1200 \Omega /\) phase. The source at bus 2 produces an apparent power of \(\left|S_{2}\right|=600 \mathrm{kVA}\) at a leading power factor of 0.9. The load at bus 3 draws an apparent power of \(\left|S_{3}\right|=750 \mathrm{kVA}\) at a lagging power factor of 0.85 . The line current in line 2 is \(I_{\mathrm{L} 2}=3.25 \mathrm{~A}\) (rms). Find the apparent power produced by the source at bus 1 , the source power factor, and the line voltages at bus 1, bus 2, and bus 3 .