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Sir, I am confused with this question. This question is from the exam kit of Kaplan.
The time for the first batch of 50 units was 500 hrs. The total time for the first 16 batches of 5o units was 5731 hours. What is the learning rate?
According to the answer in the exam kit:
5731= 16 x 500r^4
5731/(16 x 500)= r^4
r= 0.92 or 92%Could u pls explain to me the answer of this question and how did it come up to 92%. Thanks 🙂
Have you watched our free lecture on learning curves?
Our lectures are a complete course for Paper F5 and cover everything you need to be able to pass the exam well.If they make 16 batches then the average time per batch is 5731/16 = 358.1875 hours.
Using the doubling rule, the average time for the 16th batch = the time for the first batch x r^ 4
Therefore 358.175 = 500 x r^4
So r^4 = 381.175/500 = 0.76235
Therefore r = 4th root of 0.76235 = 0.92.
Since you must have a scientific calculator for this exam, you will have a button that allows you to get at nth root for any value of n. Where that button appears is different for different calculators – you will need to look at the instruction booklet!
In this particular case, since it is a 4th root, you can get it by pressing the square root button twice.
Hi John, first of all thank you for the brilliant lectures – got me through F9 in september… I am doing F5 in December and have a question for you. I have just completed a mock question in the BPP revision kit which has a question on learning rates – the objective is to calculate the revised lifecycle costs for labour over the two years using the learning rate of 95% with the first unit taking 0.5 hours. The company will produce 100,000 units in year one and 200,000 in year two. My calculations were all correct – however, in the answer page they applied the rate for the first 100 units on year one and year two – but my logic told me that once the learning rate is complete for the first 100 units (in year one) you will not be “learning” how to make the units all over again (in year two). Surely chronological time will not make us forget and have to re-learn how to make the units – for this reason though my answer was different as i applied the average learning rate to a different amount. What would your advice be for such a scenario in the exam? – thank you for your help and i hope my question makes sense…Lou
Best is if you tell me which question in the Revision Kit (because without looking at the full question it is hard for me to sure).
I think you have misunderstood the answer.
Certainly there is learning for the first 100 units in the first year (and you agree).
From then on all the units in both the first and the second year take the same time as the 100th unit (0.33 hours).
All of the units in the second year take this 0.33 hours – so they are not ‘learning again’ in the second year 🙂
i think you are right – lets hope its only the answers i misread and not the questions when it comes to exam time… 🙂
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