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Learning curve

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Learning curve

  • This topic has 8 replies, 4 voices, and was last updated 8 years ago by John Moffat.
Viewing 9 posts - 1 through 9 (of 9 total)
  • Author
    Posts
  • December 5, 2016 at 10:17 pm #354338
    orhodes
    Participant
    • Topics: 20
    • Replies: 25
    • ☆

    Hi John

    I need some help with calculating the learning rate in this example. This is from ACCA website.

    The first phase of production has now been completed for the new car seat. The first unit actually took 12.5 hours to make and the total time for the first eight units was 34.3 hours, at which point the learning effect came to an end. Chair Co are planning on adjusting the price to reflect the actual time it took to complete the eighth unit.

    What was the actual rate of learning which occurred (to two decimal places)?

    Their method is

    Actual learning rate

    Cumulative number of Cumulative total Cumulative average
    seats produced hours hours per unit
    1 12·5 12·5
    2 ? 12·5 x r
    4 ? 12·5 x r2
    8 34·3 12·5 x r3
    Using algebra: 34·3 = 8 x (12·5 x r3)
    4·2875 = (12·5 x r3)
    0·343 = r3
    r = 0·70
    Therefore the learning rate was 70%

    Would you do it differently? Normally your ways are better

    Thanks
    Oksana

    December 6, 2016 at 7:33 am #354396
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54662
    • ☆☆☆☆☆

    I would do it the same way as you 🙂

    December 6, 2016 at 11:31 am #354457
    orhodes
    Participant
    • Topics: 20
    • Replies: 25
    • ☆

    ok thanks. Wish me good luck for tomorrow 🙂

    December 6, 2016 at 3:44 pm #354528
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54662
    • ☆☆☆☆☆

    I do wish you the best of luck – I hope it all goes well for you (and that then I see you again on F9 before too long 🙂 )

    December 6, 2016 at 4:18 pm #354548
    nzrn89
    Participant
    • Topics: 37
    • Replies: 15
    • ☆☆

    Hi John,

    I have a question its q142 in the bpp revision kit.

    The question is:
    The following statements have been made about learning curves.
    (1) learning curves are easier to apply in companies with high labour turnover than those with lower rate of staff turnover
    (2) learning rates are not affected by time gaps between the production of additional units of a product.
    Which of the following statements are true?

    A. 1 only
    B. 2 only
    C. Neither 1 nor 2
    D. Both 1 and 2

    Answer from BPP – D
    But i do not understand the logic behinf the answer. Can you help me? Thank you

    December 6, 2016 at 4:20 pm #354550
    nzrn89
    Participant
    • Topics: 37
    • Replies: 15
    • ☆☆

    Thank you John

    December 7, 2016 at 6:31 am #354844
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54662
    • ☆☆☆☆☆

    BPP’s answer is a typing mistake – they have given an answer to a different question (if you look at the workings)!!

    The correct answer is C.

    If there is high labour turnover then new employees keep appearing and they have to start learning all over again.
    Time gaps in production mean that workers forget and have to start learning again.

    January 20, 2017 at 6:13 am #368489
    Walt
    Participant
    • Topics: 3
    • Replies: 4
    • ☆

    Dear John
    Please can you talk me through this example? I do not know how to calculate this formula.

    Appreciate your help

    Regards
    Walter

    January 20, 2017 at 8:12 am #368498
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54662
    • ☆☆☆☆☆

    You must watch my free lectures on learning curves – I cannot type out all my lectures here 🙂

    (The lectures are a complete free course for Paper F5 and cover everything needed to be able to pass the exam well.)

  • Author
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