A company purchased new petroleum refining equipment in the year $2018$ by paying $$500,000$ cash. The company used MACRS$-$GDS depreciation for tax purposes and sold the asset in year $2022.$ Nole that this asset is in the $10-$year GDS property class for tax purposes.

Calculate the depreciation that the company claimed on the asset for year $2022.$

A$.$ $$28,800$

B$.$ $$16,400$

C$.$ $$46,100$

D$.$ $$23,050$

E$.$ $$57,600$

What was the book value of the asset at the time sale in $2022.?$

A$.$ $$207,350$

B$.$ $$259,200$

C$.$ $$476,950$

D$.$ $$184,300$

E$.$ $$230,400$