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Zeigler Manufacturing Company purchased a robot for $$720,000$ at the beginning of year $1.$ The robot has an estimated useful life of $4$ years and an estimated residual value of $$60,000.$ The robot, which should last $20,000$ hours, was operated:

$6,000$ hours in year $1$;

$8,000$ hours in year $2$;

$4,000$ hours in year $3$; and

$2,000$ hours in year $4.$

Required

$1.$ Compute the annual depreciation and carrying value for the robot for each year

assuming the following depreciation methods:

$($a$)$ straight$-$line,

$($b$)$ production, and

$($c$)$ double$-$declining$-$balance.

$2.$ If the robot is sold for $$750,000$ after year $2,$ what would be the amount of gain or

loss under each method?$$