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Bhagat says

Sir your 19-minute lecture made me understand much faster and more in-depth than my 2-hour lecture at college. Thanks!!

John Moffat says

Thank you

utkurjon says

Hi,

I would like to thank you and Open Tuition for the great lectures which helps my studies to be a lot easier.

However, I came to a question where I have a little problem. Would you be kind to help me how to deal with it please.

The question is from ACCA Global and it is as follows:

Example 2

The first batch of a new product took six hours to make and the total time for the first 16 units was 42.8 hours, at which point the learning effect came to an end.

Calculate the rate of learning.

ACCA Global suggested using equation but not the learning curve formula.

42.8=16x(6xr4)

2.675=(6xr4)

0.4458333=r4

the final step to get the answer, it tells to take the fourth root of each side that involves using the calculator button r4 or calculator button x1/y to find the forth root of a number. However, both my calculators do not have these buttons and even looked my calculator guides but there is nothing mentioned about theses buttons.

Could you suggest how to take the forth root or any alternative approach to the question.

Many thanks in advance.

John Moffat says

Easiest is just to press the square root button twice

utkurjon says

I have just got a notification of your reply. Technology

Now I am able to work out the final answer

Thank you so much

Aley says

Dear John,

In example 6 by formula ,if we calculate total time of 8 units answer verify the doubling rule no need to find total time for 9 units and then subtract 1st unit time ,it means we can calculate total time for n units,But why it is not verifying answer for 7 units why we should find 8 then subtract first unit time.

Prompt reply is highly appreciated.

John Moffat says

Whether using the formula or using the doubling rule, you can only get the time for the first number to be made (i.e. you can calculate the time for the first 4, or the first 5 or the first 6 and so on). If you have made some units already, then you cannot work out directly the time for another 4, or another 5, or another 6 etc..

The only way you can do it is the way in the lecture.

amg says

thank you for your great lectures!

Bertrand says

Thanks John Moffat for the lecture, is well explained. However, I have one small problem, I wish to know the difference between total time for the next 7 and total time for 7. In example 6 you calculated total time for the next 7 and got 237.5 and I tried to calculate total time for 7 using the formular I got 312.22 . I was hoping to get 237.5. So i was wondering if they don’t mean thesame thing.

John Moffat says

When it says the next 7 it means another 7 after the one already produced – so it bring the total up to 8.

So to get the time for the next 7 you need to calculate the total time for 8 and then subtract the time it took for the first one.

Bertrand says

Dear John,

Thanks for the prompt reply to my question. It is now understood.Thanks once more for the excellent lectures you are giving in this site.

Jonathan says

In the last part of the question where the total time for the 30 batches was calculated, why was the average time of 90.80 multiplied by 30 to get 2,724?

I thought the average time of 90.08 which was calculated for the 30 batches would have been used.

Jonathan says

It was corrected later in the video.

Yosef says

Very well explained but still in the mire with two months to exam