$($CH$8-$ Q$1)$: PP&E and Depreciation $(9$ points total$)$

Bethlehem Manufacturing Company purchased a new stamping machine on January $1,2023,$ at a cost of $$950,000.$ The

machine has a useful life of $5$ years and a residual value of $$50,000.$ The company's fiscal year ends on December $31.$

$(3$ pts$)$ Calculate the depreciation expense for $2024$ and the net book value of the machine at the end of $2024$ under

the double$-$declining$-$balance depreciation method. Show your calculations.

$(2$ pts$)($Independent of the question $1)$ let's assume now that the machine has an estimated productive life of

$60,000$ units. The actual production was $12,500$ units in $2023.$ What is the depreciation expense for $2023$ assuming

the units$-$of$-$production method is used?

$(4$ pts$)($Independent of the questions $1$ and $2)$ let's assume now the machine has been depreciated under the

straight$-$line method. On March $31,2025,$ Bethlehem Manufacturing Company sold this machine for $$565,000$

cash. Is there is any gain or loss from the sale of machine? If so$,$ what's the amount?