On April $22,2023,$ Ivanhoe Enterprises purchased equipment for $$133,500.$ The company expects to use the equipment $12,000$ working hours during its four$-$year life and that it will have a residual value of $$13,500.$ Ivanhoe has a December $31$ year end and prorates depreciation to the nearest month. The actual machine usage was: $1900$ hours in$2023$; $2500$ hours in $2024$; $3800$ hours in$2025$; $2800$ hours in $2026$; and $1200$ hours in $2027.$ Prepare a depreciation schedule for the life of the asset under the units$-$of$-$production method.