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Learning curve

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

  • This topic has 7 replies, 3 voices, and was last updated 2 years ago by John Moffat.
Viewing 8 posts - 1 through 8 (of 8 total)
  • Author
    Posts
  • September 1, 2019 at 9:26 pm #544099
    iyamu
    Participant
    • Topics: 286
    • Replies: 171
    • ☆☆☆

    The time for the first batch of 50 units was 400 hours but the labour budget is the subject of a learning effect where the learning rate is 90%. The rate of pay is $12 per hour .

    The business had received and satisfied an order for 600 units but is has now received a second order for another 800 units . Value for b = – 0.152

    What will be the cost of this second order?

    Ans:
    Y = 400*12^-0.152
    Y= 274.17285 hours
    Total time = 3,290.07 hours
    Time for first 1400 units (28 batches )
    Y = 400*28^-0.152
    Y= 241.04158 hours
    Total time= 6,749.16 hours
    Time for the first order = 6,749.16-3,290= 3,459.09 hours
    Cost of second order = 3459.09*$12/hr = $41,509.08

    Question:
    if they are working with batches such as 1 batch = 50 units
    How do they get time for first 1,400 units (28 batches )?

    This is where I didn’t get it!

    Thanks in advance

    September 2, 2019 at 7:35 am #544125
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54675
    • ☆☆☆☆☆

    They have made 600 units (12 batches) and they are now going to made another 800 units. So then they will have made 1,400 units (28 batches).

    So the time for the new order of 800 units will be the time for 28 batches less the time for 12 batches. To get the times you use the formula given on the formula sheet as the answer you have typed out.

    Have you watched my free lectures on learning curves?

    September 2, 2019 at 4:20 pm #544188
    iyamu
    Participant
    • Topics: 286
    • Replies: 171
    • ☆☆☆

    Sir the 1 batch was = 50 units

    How come was could 28 batches makes = 1,400 units ? Here was only my confusion. All others are ok.

    Thanks

    September 2, 2019 at 4:28 pm #544190
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54675
    • ☆☆☆☆☆

    28 batches x 50 units = 1,400 units !!!!

    September 2, 2019 at 5:36 pm #544204
    iyamu
    Participant
    • Topics: 286
    • Replies: 171
    • ☆☆☆

    Oh thanks sir .

    September 3, 2019 at 7:44 am #544369
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54675
    • ☆☆☆☆☆

    You are welcome 🙂

    February 19, 2023 at 4:37 am #679126
    1accountant
    Participant
    • Topics: 3
    • Replies: 8
    • ☆

    How did we even know that it was 12 batches in the first place ?..I understand everything else but this.

    Can you explain

    February 19, 2023 at 9:16 am #679131
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54675
    • ☆☆☆☆☆

    The question says that they have already made 600 units. Given that each batch is of 50 units, then 600 units is 600/50 = 12 batches.

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