On April $22,2023,$ Crane Enterprises purchased equipment for $$130,700.$ The company expects to use the equipment for $11,000$ working hours during its four$-$year life and that it will have a residual value of $$13,000.$ Crane has a December $31$ year end and pro$-$rates depreciation to the nearest month. The actual machine usage was: $1,600$ hours in $2023$; $2,500$ hours in $2024$; $3,700$ hours in $2025$; $2,500$ hours in $2026$; and $900$ hours in $2027.($a$2)$ repare a depreciation schedule for the life of the asset under the double diminishing$-$balance method.