i$.$ Dawgs Construction bought a front$-$end loader for $$150,000.$ The accountant of the company decided to keep a record of yearly depreciation by developing a depreciation schedule of the equipment using the Straight Line, the Sum of Year's Digits, the Double Declining Balance $($DDB$)$ and the MACRS method of depreciation. If the life of the equipment is classified as a $5-$year equipment, with an original Salvage Value of $$12,000,$ replicate the accountant's tables.

ii$.$ For the DDB method, what will be the adjusted rate of depreciation in year $5?$

iii. Since they sell most of their used equipment to small companies, they have developed a model that helps them determine the best sale price of their used equipment. They use the model below:

$B{V}_n=\frac{(\frac{n}{5})(B{V}_{nm})+(\frac{n}{8})(B{V}_{nSL})+(B{V}_{nDDB})+(B{V}_{\text{n}\text{S}\text{O}\text{Y}\text{D}}-2000)}{n}$

Where: $BVn$ is the calculated Book value after $n$ years of use $($this is how much they sell their used equipment for after $n$ years of use$).$

$B{V}_{nm}$ is the Book Value after $n$ years from the MACRS schedule

$B{V}_{nSL}$ is the Book Value after n years from the Straight$-$Line schedule.

$B{V}_{nDDB}$ is the Book Value after n years from the DDB schedule,

$B{V}_{\text{n}\text{s}\text{o}\text{r}\text{D}}$ is the Book Value after n years from the SOYD schedule.

If Dawgs Construction sold this equipment after $4$ years of use. How much did they sell the equipment for?