$(20$pts$)$ A vertical crest curve with a length of $500$ feet is to connect grades of

$g_1=+2\mathrm{.}00\%$ and $g_2=-2\mathrm{.}50\%.$ The PVI is located at station $96+80,$ and it has an

elevation of $845\mathrm{.}26$ feet. What are the locations and elevations of the BVC$,$

EVC, Crest point, and at all full stations on the curve.

Show the stakeout data in a tabular form.