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learning curve multiple choice questions

Forums › ACCA Forums › ACCA PM Performance Management Forums › learning curve multiple choice questions

  • This topic has 3 replies, 3 voices, and was last updated 10 years ago by rinshad.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • November 28, 2014 at 3:55 am #213962
    yahweh
    Member
    • Topics: 23
    • Replies: 20
    • ☆

    A company began producing a new prodcut in batches four months ago. When production commenced t he first batch took 45 hours. The actual learning rate observed were as follows.

    Month ————— Total batches produced to date————— Actual learning rate
    1 ————— 1 ————– 75%
    2 ————— 2 ————— 75%
    3 ————— 4 ————– 75%
    4 ————— 8 ————— 95%

    What was the average production time per batch for the first 8 batches.
    A – 18.98 hours
    B – 22.78 hours
    C – 39.06 hours
    D – 32.81 hours

    kindly help me out with this question. thanks

    November 28, 2014 at 11:18 am #214044
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    Every time we double production, the average time falls to a percentage of the previous average time.

    So average time when we produce 2 is 45 x 0.75
    Average time when we produce 4 is 45 x 0.75 x 0.75
    Average time when we produce 8 is 45 x 0.75 x 0.75 x 0.95

    November 28, 2014 at 1:08 pm #214102
    yahweh
    Member
    • Topics: 23
    • Replies: 20
    • ☆

    I got confused when the rate changed to 95%.

    It was simply applying the rule ‘ Every time we double production, the average time falls to a percentage of the previous average time.’

    Thanks a lot. 🙂

    December 30, 2015 at 3:57 pm #293045
    rinshad
    Member
    • Topics: 0
    • Replies: 1
    • ☆

    answer is A 18.98

    month total batch LC
    1 1
    2 2 75% 67.5 33.75
    3 4 75% 101.25 25.3125
    4 8 75% 151.875 18.984375

    first batch took 45 hours.

    95 % is for the next batch of 16

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