As shown in Fig. $11\mathrm{.}97,$ a $550-$V feeder line supplies

an industrial plant consisting of a motor drawing

$60$ kW at $0\mathrm{.}75$ pf $($inductive$),$ a capacitor with a rating

of $20$ kVAR, and lighting drawing $20$ kW$.$

$($a$)$ Calculate the total reactive power and apparent

power absorbed by the plant.

$($b$)$ Determine the overall pf$.$

$($c$)$ Find the magnitude of the current in the feeder

line.