$1)$ On January $1,2012,$ ABC Company purchased a truck for $$15,000.$ It has a $5-$years useful life or $50,000$ hours of operation, and a residual value of $$5,000.$ The truck was used $10,000$ hours in $2012$ and $15,000$ hours in $2013.$

a$.$If the company uses the double$-$declining$-$balance method, what will be the book value and total depreciation expense of the truck at the end of its useful life? Calculate the depreciation expense for the year ended December $31,2013.$

If the company uses the units of production method, what is the depreciation rate per hour for the truck?

Calculate the depreciation expense and book value for the year ended December $31,2012.$

If the company uses the straight$-$line depreciation method, record the journal entry for the depreciation expense in $2012.$ On January $1,2016,$ the company sold the truck for $$6,000.$ How much gain or loss will be reported on the income statement for the sale of the truck?

If the company uses the straight$-$line depreciation method. On January $1,2014,$ the company made major repairs of $$19,000$ to the truck that extended the life $3$ years and a new residual value of $$6,000.$ What amount should be recorded as depreciation expense each year starting in $2014?$