$75.$ Last Chance Mine $($LCM$)$ purchased a coal deposit for $$750,000.$ It estimated it would extract $12,000$ tons of coal from the deposit. LCM mined the coal and sold it$,$ reporting gross receipts of $$1$ million, $$3$ million, and $$2$ million for years $1$ through $3,$ respectively. During years $13,$ LCM reported net income $($loss$)$ from the coal deposit activity in the amount of $($$$20,000),$ $$500,000,$ and $$450,000,$ respectively. In years $13,$ LCM actually extracted $13,000$ tons of coal as follows:

Depletion Tons extracted per year

$(1)(2)(2)/(1)$

Tons of Coal Basis Rate Year $1$ Year $2$ Year $3$

$12,000$ $$750,000$ $$62\mathrm{.}502,0007,2003,800$

a$.$ What is LCM$$s cost depletion for years $1,2,$ and $3?$

b$.$ What is LCM$$s percentage depletion for each year $($the applicable percentage for coal is $10$ percent$)?$

c$.$ Using the cost and percentage depletion computations from parts $($a$)$ and $($b$),$ what is LCM$$s actual depletion expense for each year?