Equivalent unit calculation

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    Topic
  • #183274
    lz221476
    Member

    A company employs a process costing system for its two-department manufacturing operation using the first-in-first-out (FIFO) inventory method. When units are completed in department 1, they are transferred to department 2 for completion. Inspection takes place in department 2 immediately before the direct materials are added, when the process is 70% complete with respect to conversion. The specific identification method is used to account for lost units.

    Generally the number of defective units (that is, those failing inspection) is below the normal tolerance limit of 4% of units inspected. Defective units have minimal value, and the company sells them without any further processing for whatever it can. Generally the amount collected equals, or slightly exceeds, the transportation cost. A summary of the manufacturing activity for department 2, in units for the current month, is presented below.

    Physical flow

    (output units)

    Beginning inventory

    (60% complete with respect to conversion)

    20,000

    Units transferred in from department 1

    180,000

    Total units to account for

    200,000

    Units completed in department 2 during the month

    170,000

    Units found to be defective at inspection

    5,000

    Ending inventory

    (80% complete with respect to conversion)

    25,000

    Total units accounted for

    200,000

    The equivalent units for direct materials for the current month would be:

    200,000 units.

    • 175,000 units.

    • 195,000 units.

    • 181,500 units.

    Right answer is 195,000. My calculation is like this:20,000*0.4+(170,000-20,000)+25,000*0.8=178,000

    I didn’t get why the answer is 175,000. Where is the mistake?

Viewing 14 replies - 1 through 14 (of 14 total)
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  • #507088
    stoleway
    Participant

    @lz221476

    Inspection takes place in department 2 immediately before the direct materials are added, when the process is 70% complete with respect to conversion.

    NOTE: Direct Materials will not be considered or added if Conversion cost has not reached the 70% threshold.

    EUP for DM (FIFO) = Units Completed + Ending WIP x %completed – Begining WIP x %Completed

    =170000 + 25000 (EWIP)

    =195000

    NOTE: I added 100% of the Direct Material Ending WIP since Conversion cost (80%) is equal or greater than the threshold set by the company.

    NOTE: I did not include Direct Material Begining WIP in the calculation above because Conversion Cost (60%) is below the threshold set by the company.

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    #507139
    stoleway
    Participant

    @lz221476

    Inspection takes place in department 2 immediately before the direct materials are added, when the process is 70% complete with respect to conversion.

    NOTE: Direct Materials will not be considered or added if Conversion cost has not reached the 70% threshold.

    EUP for DM (FIFO) = Units Completed + Ending WIP x %completed – Begining WIP x %Completed

    =170000 + 25000 (EWIP)

    =195000

    NOTE: I added 100% of the Direct Material Ending WIP since Conversion cost (80%) is equal or greater than the threshold set by the company.

    NOTE: I did not include Direct Material Begining WIP in the calculation above because Conversion Cost (60%) is below the threshold set by the company.

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    #507090
    M.O.D.
    Member

    @lz

    your percents are for conversion, but the problem is asking for direct materials

    So you make two percents for each number: C for conversion and M for materials

    BI 20000 C 40% M 100%(needed to complete)

    Produced 150000 C100% M100%

    EI 25000 C80% M 100%

    So your answer would be right if the problem were asking for equiv units for conversion instead of DM.

    BA Mathematics, UC Berkeley
    Certificates in CPA and EA preparation, College of San Mateo
    CMA I 420, II 470
    FAR 91, AUD Feb 2015 (Gleim self-study)

    #507141
    M.O.D.
    Member

    @lz

    your percents are for conversion, but the problem is asking for direct materials

    So you make two percents for each number: C for conversion and M for materials

    BI 20000 C 40% M 100%(needed to complete)

    Produced 150000 C100% M100%

    EI 25000 C80% M 100%

    So your answer would be right if the problem were asking for equiv units for conversion instead of DM.

    BA Mathematics, UC Berkeley
    Certificates in CPA and EA preparation, College of San Mateo
    CMA I 420, II 470
    FAR 91, AUD Feb 2015 (Gleim self-study)

    #507092
    lz221476
    Member

    @stoleway

    The explanation given by Wiley did include Direct Material Beginning WIP in the calculation. Here is their explanation:

    “Units completed

    From beginning WIP 20,000

    From current production 150,000

    Defective units —

    Ending WIP 25,000

    Equivalent units 195,000″

    I just didn't get why they didn't time the percentage.

    #507143
    lz221476
    Member

    @stoleway

    The explanation given by Wiley did include Direct Material Beginning WIP in the calculation. Here is their explanation:

    “Units completed

    From beginning WIP 20,000

    From current production 150,000

    Defective units —

    Ending WIP 25,000

    Equivalent units 195,000″

    I just didn't get why they didn't time the percentage.

    #507094
    lz221476
    Member

    @M.O.D

    Why DM's percentage is different from Conversion?

    #507145
    lz221476
    Member

    @M.O.D

    Why DM's percentage is different from Conversion?

    #507096
    stoleway
    Participant

    @lz221476

    Hmm.. thats weird, I use Gleim and what I have described above is my understanding of the concept and how it should be solved.

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    #507147
    stoleway
    Participant

    @lz221476

    Hmm.. thats weird, I use Gleim and what I have described above is my understanding of the concept and how it should be solved.

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    #507098
    M.O.D.
    Member

    DM = Direct Materials

    Conversion= DL + overhead

    Let's say you make baseball bats.

    You bring in the wood first (100% DM), then shape the wood using labor (DL) and electricity (OH), thus converting the wood into a bat. This conversion process is gradual, or continuous over the month, so at the end of the month the bats in ending inventory are only half-finished, say 50% completed for conversion.

    But the material (the wood) was all added at the beginning. Otherwise there would be nothing to convert into a bat.

    So the ending inventory is 100% completed for materials.

    In this case, in the department 2, the material (let's say varnish) is added when the bats are 70% complete for conversion, and the varnishing process takes up the last 30% of the conversion.

    If the bat is at 60% converted, the varnishing does not yet begin, so the varnish material is at 0%. But as soon at it reaches 70%, and above, you can be certain that varnish was added and the DM is at 100%.

    BA Mathematics, UC Berkeley
    Certificates in CPA and EA preparation, College of San Mateo
    CMA I 420, II 470
    FAR 91, AUD Feb 2015 (Gleim self-study)

    #507149
    M.O.D.
    Member

    DM = Direct Materials

    Conversion= DL + overhead

    Let's say you make baseball bats.

    You bring in the wood first (100% DM), then shape the wood using labor (DL) and electricity (OH), thus converting the wood into a bat. This conversion process is gradual, or continuous over the month, so at the end of the month the bats in ending inventory are only half-finished, say 50% completed for conversion.

    But the material (the wood) was all added at the beginning. Otherwise there would be nothing to convert into a bat.

    So the ending inventory is 100% completed for materials.

    In this case, in the department 2, the material (let's say varnish) is added when the bats are 70% complete for conversion, and the varnishing process takes up the last 30% of the conversion.

    If the bat is at 60% converted, the varnishing does not yet begin, so the varnish material is at 0%. But as soon at it reaches 70%, and above, you can be certain that varnish was added and the DM is at 100%.

    BA Mathematics, UC Berkeley
    Certificates in CPA and EA preparation, College of San Mateo
    CMA I 420, II 470
    FAR 91, AUD Feb 2015 (Gleim self-study)

    #507100
    infinity
    Member

    This was very helpful, I made the same mistake by calculating for conversion rather than direct materials. Thanks!

    BEC 74

    Never give up, never surrender.

    #507151
    infinity
    Member

    This was very helpful, I made the same mistake by calculating for conversion rather than direct materials. Thanks!

    BEC 74

    Never give up, never surrender.

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