$(20$pts$)$ Given that $I=300ft,G_1=-3\mathrm{.}2\%,G_2=+1\mathrm{.}8\%,$PVI is at $30+30$ and elevation $465\mathrm{.}92$ ; determine the following:

$($a$)$ location of the low point on the curve

$($b$)$ the elevation of the low point on the curve, and

$($c$)$ the elevations of the curve at even stations.