$(30$ points$)$ A surface leveling exercise is shown in Figure $1$ below.

a$.$ Construct a table to record your data and calculations, including elevations as you would

in a field book. Include a "math check".

b$.$ What is the error of closure $($Hint: actual elevation of BM$3$ is known$)?$

c$.$ With what level of precision was this survey completed $($Excellent$,$ Ordinary....$)?$

d$.$ Determine adjusted elevations for each benchmark If the distances between Benchmarks

are as follows: