A $600-$ft long equal$-$tangent crest vertical curve connects tangents that intersect a station $35+00$ and elevation $1,450ft.$ The initial grade is $+3\mathrm{.}0\%$ and the final grade is $-2\mathrm{.}5\%.$ Determine the location and elevation of the PVC$,$ the middle of the curve, the PVT$,$ and the curve elevation at stations $33+50$ and $36+00.(15$ points$)$