10.4 10.3 A machine costing $207,200 with a four-year life and an estimated $16,
ID: 2601787 • Letter: 1
Question
10.410.3 A machine costing $207,200 with a four-year life and an estimated $16,000 salvage value is installed in Luther Company's factory on January 1. The factory manager estimates the machine will produce 478,000 units of product during its life. It actually produces the following units: 122,400 in 1st year, 122,400 in 2nd year, 121,500 in 3rd year, 121,700 in 4th year. The total number of units produced by the end of year 4 exceeds the original estimate-this difference was not predicted. (The machine must not be depreciated below its estimated salvage value) Required: Compute depreciation for each year (and total depreciation of all years combined) for the machine under each depreciation method. Round your per unit depreciation to 2 decimal places. Round your answers to the nearest whole dollar.) 3 Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below. DDB Straight Line onits of Production Compute depreciation for each year (and total depreciation of all years combined) for the machine under each Units of production. Units of Pr Depreciable Depreciati per unit Year Units Expense 22,400s 0.5061.200 122,400 5 61,200 21,500s 0.50 121,700 $ 488,000 60,750 60,850 3 0.50 Total $ 244,000
Explanation / Answer
STRAIGHT LINE METHOD UNITS OF PRODUCTION METHOD Double Declining Balance Method DETAILS Year Depreciation Expense Year Actual Production DPU Depreciation Expense Year Book Value at the beginning Rate of Depreciation Depreciable Amount Cost of the Machine $ 207,200.00 1 $ 47,800.00 1 $ 122,400.00 $ 0.40 $ 48,960.00 1 $ 207,200.00 50.0000% $ 103,600.00 Salvage Value $ 16,000.00 2 $ 47,800.00 2 $ 122,400.00 $ 0.40 $ 48,960.00 2 $ 103,600.00 50.0000% $ 51,800.00 Depreciable Amount $ 191,200.00 3 $ 47,800.00 3 $ 121,500.00 $ 0.40 $ 48,600.00 3 $ 51,800.00 50.0000% $ 25,900.00 Useful Life 4.00 4 $ 47,800.00 4 $ 121,700.00 $ 0.40 $ 44,680.00 4 $ 25,900.00 38.2239% $ 9,900.00 Estimated Production Over the life (Units) 478,000.00 $ 191,200.00 $ 488,000.00 $ 191,200.00 $ 191,200.00 Rate of Depreciation under SLM 25% 4th year Depreciation: Rate of Depreciation under DDB 50% Depreciation as per formula $ 48,680.00 4th year Depreciation: Cumulative Depreciation exceeds depreciable value $ 4,000.00 Depreciation as per formula $ 12,950.00 Depreciation for 4th year $ 44,680.00 Cumulative Depreciation exceeds depreciable value $ 3,050.00 Depreciation for 4th year $ 9,900.00 COST OF THE ASSET Purchase Cost $ 192,000.00 Capitalised $ 9,600.00 $ 201,600.00 Salvage Value $ 23,040.00 Depreciable amount $ 178,560.00 Depreciation per annum $ 29,760.00 Book Value at the end of 5th Year $ 52,800.00 It is assumed that asset is sold at $ 55,000 Journal Entry CASH A/C DR $ 55,000.00 ACCUMULATED DEPRECIATION $ 148,800.00 TO MACHINE $ 201,600.00 TO PROFIT & LOSS A/C $ 2,200.00 STRAIGHT LINE METHOD UNITS OF PRODUCTION METHOD Double Declining Balance Method DETAILS Year Depreciation Expense Year Actual Production DPU Depreciation Expense Year Book Value at the beginning Rate of Depreciation Depreciable Amount Cost of the Machine $ 207,200.00 1 $ 47,800.00 1 $ 122,400.00 $ 0.40 $ 48,960.00 1 $ 207,200.00 50.0000% $ 103,600.00 Salvage Value $ 16,000.00 2 $ 47,800.00 2 $ 122,400.00 $ 0.40 $ 48,960.00 2 $ 103,600.00 50.0000% $ 51,800.00 Depreciable Amount $ 191,200.00 3 $ 47,800.00 3 $ 121,500.00 $ 0.40 $ 48,600.00 3 $ 51,800.00 50.0000% $ 25,900.00 Useful Life 4.00 4 $ 47,800.00 4 $ 121,700.00 $ 0.40 $ 44,680.00 4 $ 25,900.00 38.2239% $ 9,900.00 Estimated Production Over the life (Units) 478,000.00 $ 191,200.00 $ 488,000.00 $ 191,200.00 $ 191,200.00 Rate of Depreciation under SLM 25% 4th year Depreciation: Rate of Depreciation under DDB 50% Depreciation as per formula $ 48,680.00 4th year Depreciation: Cumulative Depreciation exceeds depreciable value $ 4,000.00 Depreciation as per formula $ 12,950.00 Depreciation for 4th year $ 44,680.00 Cumulative Depreciation exceeds depreciable value $ 3,050.00 Depreciation for 4th year $ 9,900.00 COST OF THE ASSET Purchase Cost $ 192,000.00 Capitalised $ 9,600.00 $ 201,600.00 Salvage Value $ 23,040.00 Depreciable amount $ 178,560.00 Depreciation per annum $ 29,760.00 Book Value at the end of 5th Year $ 52,800.00 It is assumed that asset is sold at $ 55,000 Journal Entry CASH A/C DR $ 55,000.00 ACCUMULATED DEPRECIATION $ 148,800.00 TO MACHINE $ 201,600.00 TO PROFIT & LOSS A/C $ 2,200.00
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