An asset was purchased for $$58,000$ and originally estimated to have a useful life of $10$ years with a residual value of $$3,000.$ After $2$ years of straight$-$line deprecia was determined that the remaining useful life of the asset was only $2$ years with a residual value of $$2,000.$

a$.$ Determine the amount of the annual depreciation for the first $2$ years.

b$.$ Determine the book value at the end of Year $2.$

c$.$ Determine the depreciation expense for each of the remaining years after revision.