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steposvetlana [31]
3 years ago
15

Pacific Ink had beginning work-in-process inventory of $959,660 on October 1. Of this amount, $402,560 was the cost of direct ma

terials and $557,100 was the cost of conversion. The 58,000 units in the beginning inventory were 30 percent complete with respect to both direct materials and conversion costs. During October, 122,000 units were transferred out and 40,000 remained in ending inventory. The units in ending inventory were 80 percent complete with respect to direct materials and 40 percent complete with respect to conversion costs. Costs incurred during the period amounted to $3,005,200 for direct materials and $3,786,840 for conversion.
Required:
Compute the costs of goods transferred out and the ending inventory using the weighted-average method.
Business
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

Pacific Ink

Cost of goods transferred out = $6,540,420

Ending inventory = $1,211,840

Explanation:

a) Data and Calculations:

                                        Units         Materials      Conversion      Total

Beginning WIP inventory                  $402,560       $557,100    $959,660

Costs incurred during the period $3,005,200   $3,786,840 $6,792,040

Total production costs                  $3,407,700    $4,343,940  $7,751,700

Units in WIP inventory   58,000      30%                30%

Units transferred out   122,000     100%              100%

Ending inventory           40,000      80%                40%

Units started                104,000 (122,000 + 40,000 - 58,000)

Equivalent unit of production    Units     Materials      Conversion

Units transferred out              122,000     122,000        122,000

Ending inventory                      40,000      32,000           16,000

Equivalent units                                        154,000         138,000

Cost per equivalent unit:

Total production costs                  $3,407,700    $4,343,940

Equivalent units                                  154,000          138,000

Cost per equivalent unit                      $22.13             $31.48

Costs assigned to:

Cost of goods transferred out    $2,699,860     $3,840,560    $6,540,420

Ending inventory                                708,160           503,680         1,211,840

Total costs assigned                   $3,408,020      $4,344,240    $7,752,260

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Answer:

The net present value of the proposed project is close to $19,544.65.

Explanation:

The net present value of the proposed project can be calculated as follows:

Step 1: Calculation of the proposed project's present value of saving of labor and other costs

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PVC = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PVC = Present value of the proposed project of saving of labor and other costs = ?

P = Proposed project's saving of labor and other costs = $96,000

r = required pretax return = 19%, or 0.19

n = number of years of the project = 8

Substitute the values into equation (1), we have:

PVC = $96,000 * ((1 - (1 / (1 + 0.19))^8) / 0.19)

PVC = $379,619.10

Step 2: Calculation of the proposed project's present value of working capital investment recovered at the end of the life of the machine

This can be calculated using the formula for calculating the present value as follows:

PVW = W / (1 + r)^n .......................... (2)

PVW = Present value of proposed project's working capital investment recovered at the end of the life of the machine = ?

W = Proposed project's working capital investment recovered at the end of the life of the machine = $4,000

r = required pretax return = 19%, or 0.19

n = number of years of the project = 8

Substitute the values into equation (2), we have:

PVW = $4,000 / (1 + 0.19)^8

PVW = $994.68

Step 3: Calculation of present value of the machine salvage value

This can be calculated using the formula for calculating the present value as follows:

PVS = W / (1 + r)^n .......................... (3)

PVS = present value of the machine salvage value = ?

W = machine salvage value = $52,000

r = required pretax return = 19%, or 0.19

n = number of years of the project = 8

Substitute the values into equation (3), we have:

PVS = $52,000 / (1 + 0.19)^8

PVS = $12,930.87

Step 4: Calculation of the net present value of the proposed project

Net present value = PVC - Cost of machine - Initial working capital investment + PVW + PVS

Net present value = $379,619.10 - $370,000 - $4,000 + $994.68 + $12,930.87

Net present value = $19,544.65

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