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Len [333]
2 years ago
7

At the beginning of 2021, Terra Lumber Company purchased a timber tract from Boise Cantor for $3,510,000. After the timber is cl

eared, the land will have a residual value of $720,000. Roads to enable logging operations were constructed and completed on March 30, 2021. The cost of the roads, which have no residual value and no alternative use after the tract is cleared, was $279,000. During 2021, Terra logged 620,000 of the estimated 6.2 million board feet of timber.Required:Calculate the 2021 depletion of the timber tract and depreciation of the logging roads assuming the units-of-production method is used for both assets. (Do not round intermediate calculations. Enter values in whole dollars.)
Business
1 answer:
V125BC [204]2 years ago
5 0

Answer:

A. $279,000

B. $27,900

Explanation:

A. Calculation for 2021 depletion of the timber tract

2021 Depletion=[($3,510,000 - $720,000) / 6.2 million] *$620,000

2021 Depletion=0.45x 620,000

2021 Depletion= $279,000

Therefore 2021 depletion of the timber tract is $279,000

B. Calculation to determine the depreciation of the logging roads

Depreciation=($279,000 / 6.2 million)*$620,000 Depreciation= 0.073*$620,000

Depreciation= $27,900

Therefore the depreciation of the logging roads is $27,900

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Using weighted average method

Statement of equivalent units

                                                   Material    Conversion

                                                    Units         Units

Units transferred out                   70,000       70,000

Add: Closing work-in-progress   <u> 25,000 </u>      <u> 6,250</u>

Average divisor                            <u> 95,000 </u>    <u>76,250</u>

                        Computation of cost per unit

                                                              Material   Conversion

                                                                   $               $

Cost of beginning work-in-progress   3,500      16,000

Cost added                                           <u> 25,000 </u>   <u>45,000</u>

Total cost                                               <u> 28,500 </u>   <u>61,000</u>

Material cost per unit = <u>$28,500</u>

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                                    = $0.30 per unit

Conversion cost per unit = <u>$61,000</u>

                                            76,250 units    

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  Conversion = 70,000 x $0.80 = $56,000

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  Conversion = 6,250 x $0.80 = $5,000

Explanation:

In this case, we will obtain the average divisor by adding the ending work-in-progress to the units transferred out. Then, we will determine the total cost of material and conversion ,which is the aggregate of cost of opening work-in -progress and cost added during the year. We also need to obtain the unit cost of material and conversion, which is total cost of material and conversion divided by the average divisor.  

Finally, we will value the units transferred out and ending work-in-progress at unit cost of material and conversion.                                                                                                                                                                              

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Answer:

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I would not recomend the investor to make this investment.

Explanation:

The expected profit can be calculated multypling the probabilities of every outcome and the profit of each outcome, and substracting the total invevstment.

The outcomes are:

1) probability 0.39 of a $23,000 loss,

2) probability 0.24 of a $8700 profit,

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NOTE: It is assumed that the outcomes does not include the initial investment.

Then, the expected profit of this investment is:

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