$470$e$\mathrm{.}4$: There are two loads that are supplied by a $220$ V bus in a power system with the following details: Load A: Balanced, $3$ phase, Y connected load with phase impedance of $6\mathrm{.}0+$j $8\mathrm{.}0.$ Load B: $3$ phase synchronous motor, rated at $25$ HP $(1$ HP $=746$ W$),$ operating at full load, $85\%$ efficiency and $0\mathrm{.}85$ power factor lead. a$.$ Draw the schematic of the circuit. b$.$ State the nature of the loads $($inductive or capacitive$).$ c$.$ Determine the total real power P delivered to the loads. d$.$ Determine the total reactive power Q delivered to the loads. e$.$ Calculate the overall power factor at the bus.