At the beginning of 2013, Terra Lumber Company purchased a timber tract from Boi

Question

At the beginning of 2013, Terra Lumber Company purchased a timber tract from Boise Cantor for $4,044,000. After the timber is cleared, the land will have a residual value of $680,000. Roads to enable logging operations were constructed and completed on March 30, 2013. The cost of the roads, which have no residual value and no alternative use after the tract is cleared, was $203,000. During 2013, Terra logged 580,000 of the estimated 5.8 million board feet of timber.

Calculate the 2013 depletion of the timber tract and depreciation of the logging roads assuming the units-of-production method is used for both assets.

1. Depletion of Timber Tracks

2. Depeltion of the Loggings Roads

At the beginning of 2013, Terra Lumber Company purchased a timber tract from Boise Cantor for $4,044,000. After the timber is cleared, the land will have a residual value of $680,000. Roads to enable logging operations were constructed and completed on March 30, 2013. The cost of the roads, which have no residual value and no alternative use after the tract is cleared, was $203,000. During 2013, Terra logged 580,000 of the estimated 5.8 million board feet of timber.

Explanation / Answer

Purchase Price of Timber Tract =$ 4044000

Residual value =$ 680000

cosrt of road = $203000

logged value = 580000

Deplitetion of Timber Tracts, Ratio = (4044000-680000)/5800000 = 0.58

Amount of depletion = 0.58*580000 = $336400
b).
Depreciation of the Timber Roads
depreciation, ratio = 203000/5800000 = 0.035

Depreciation = 580000*0.035 = $20300

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