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Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › learning rate
hi sir,
i am doing a question from kaplan exam kit
the question is:-
the time taken to produce each of the first four batches of a new product were as follows:
batch number time taken
1 100 minutes
2 70 minutes
3 59 minutes
4 55 minutes
what was the rate of learning closest to? (1 d.p)
____________________%
i took 100 + 70 + 59 + 55= 284 minutes
after this i took 284 minutes/4 = 71 (cumulative average time)
after this i took 71/100 minutes i got 0.71 which is 71% as the learning rate
i checked the answer and got it wrong.
i dont know where i went wrong please kindly guide me ..
As per Sir Moffat,
Use a formula
y = a times x exponent b
71 = 100 times 4 exp a
So a = log 0.71/log 4 = -0.247
But a = log LR / log 2
So log LR = -0.247 * log 2 = -0.07437
And LR = 10 exp -0.07437 = 84.3%
This page is not for me to reply so I just suggested for Sir Moffat to come and approve.
The average time per unit if they make 4 units is indeed 71 minutes.
However making 4 units involved doubling two times.
So 100 x r^2 = 71
Therefore r = 0.843 (or 84.3%)
(There is no need to use the formula, and questions asking you to calculate the learning rate will always be ‘doubling’ questions)
