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- This topic has 5 replies, 3 voices, and was last updated 7 years ago by John Moffat.

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- May 23, 2016 at 10:02 am #316562
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 unit1 12.5 12.5

2 ? 12.5 x r

4 ? 12.5 x r2

8 34.3 12.5 x r3Using algebra: 34.3 = 8 x (12.5 x r3)

4.2875 = (12.5 x r3) 0.343 = r3

r = 0.70May 23, 2016 at 12:43 pm #316582They 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.

May 23, 2016 at 2:49 pm #316607Thanks alot…

May 23, 2016 at 6:01 pm #316657You are welcome 🙂

May 23, 2016 at 9:10 pm #316706Not 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?

May 24, 2016 at 7:14 am #316745You 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.

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