Problem $3(20$ points$)$

A crest vertical curve connects a $+4\%$ grade and a $-2\%$ grade. The PVI is at station $79+57$ at an elevation of $874\mathrm{.}25$ ft $.$ The design speed is $65m\frac{i}{h}.$ Determine:

A$.$ The length of the vertical curve using the AASHTO method $("$K$"$ factors$)$

B$.$ The station of the BVC

C$.$ The elevation of the BVC

D$.$ The station of the EVC

E$.$ The elevation of the EVC

F$.$ The station of the high point

G$.$ The elevation of the high point

H$.$ The elevation at station $82$

I.