Shockers Corp. acquires an asset for $$200,000$ which they estimate $3$ years as the service life. For any taxable income, Shockers Corp uses a tax rate of $50\%.$

a$)$Given double declining balance depreciation method, calculate the deprecation rateand then the depreciation amounts for year $1$ through $3.$ How much tax will this corporation pay and what will be the ATCF for each of the following scenarios for the given year?

b$)$ After $3$ years the asset is sold for $$80,000$

c$)$ After $2$ years the asset is sold for $$300,000$

d$)$ After one year the asset is sold for $$20,000$

PLEASE SHOW MATH STEPS!!!