Can someone solve this problem by providing all step solution please. $6,$ The following data came from a differential leveling between two benchmarks: BM$1$ and BM $2.$ The direction of survey is from BM$2$ to BM$1.$ The elevations of these two benchmarks are $122\mathrm{.}080$ ft $($at BM$1)$ and $119\mathrm{.}125$ ft $($at BM$2).$ The following table gives the field notes of the survey $($all data are in ft$),$ and TP$1,$ TP$2$ and TP$3$ refer to three turning stations, respectively. For example, the BS reading at the rod placed at TP$2$ is $4\mathrm{.}365$ ft and the FS reading at the rod at TP$3$ is $1\mathrm{.}645$ ft$.$ You are recommended to draw a sketch of this differential leveling, so that it would be more straightforward to do the calculation. Station BS FS BM$22\mathrm{.}455$ TP$33\mathrm{.}8101\mathrm{.}645$ TP$24\mathrm{.}3653\mathrm{.}005$ TP$13\mathrm{.}6153\mathrm{.}265$ BMI $3\mathrm{.}390$ Answer the following questions: $(10$ pt$)$ a$.$ Determine the elevation of TP$1.(8$ pt$)$ b$.$ Determine the error of closure of the differential leveling from BM$2$ to BMI. c$.$ If placing a rod a point A between TP$2$ and TP$1,$ and the reading on this rod is $3\mathrm{.}575$ ft$.$ Determine the elevation of point A$.(10$ pt$)$