Two three-phase wye-connected loads are in parallel across a three-phase supply. The first load draws a phase current of 20A at 0.9 power factor leading, and the second load draws a phase current of 30A at 0.8 power factor lagging. Calculate the following:

a. The transmission line current
b. The power factor of the load
c. The real power supplied by the source if the line-to-line voltage of the transmission line is 400V.