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Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › learning Curve
Hi, Sir Jhon, Please clear that why and how the (r) is multiplied, didn’t understand
Question:
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 8th unit.
Required:
(i) Calculate the actual rate of learning and state whether this means that the
labour force actually learnt more quickly or less quickly than expected.
Solution:
Cumulative number Cumulative total Cumulative average
of 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
They are using the doubling rule.
So going from 1 to 8 units involves doubling 3 times, therefore the average time per unit will fall to the time for the first unit x r^3 where r is the learning rate.
I suggest that you watch my free lectureson learning curves where this is explained.
Our free lectures are a complete course for Paper F5 and cover everything needed to be able to pass the exam well.
Thanks alot…
You are welcome 🙂
Not related to the question, but will i be given a calculator in exam that can calculate log and this kind of roots? Or i SHOULD bring it by myself?
You have to supply your own calculator.
You will never need logarithms in the exam, but you could need to calculate a nth root, so you should get a scientific calculator.