$($b$)$ Electrical power is delivered to a Precision Lenses Manufacturing Facility as shown in Figure $3\mathrm{.}2.$ The frequency of voltage source is $50$ Hz $.$ The Precision Lenses Manufacturing Facility has the following loads:

$-\backslash (\backslash$quad $\backslash )$ Highly inductive loads absorbing $13700$ kVAR at a power factor of $0\mathrm{.}59.$

$-$ Inductive loads absorbing $9800$ kW at a power factor of $0\mathrm{.}73$ lagging.

$-$ Capacitive loads absorbing $930$ kVA at a power factor of $0\mathrm{.}55$ leading.

Figure $3\mathrm{.}2$

$($i$)$ Find the total complex power of the Precision Lenses Manufacturing Facility.

$($ii$)$ Find the reactive power supplied by the capacitor C in Figure $3\mathrm{.}2$ that will correct the power factor to $0\mathrm{.}95$ lagging as seen by the $6\mathrm{.}6$ kV voltage source.

$(13$ Marks$)$