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BBB Co has developed a new product. The first batch of 50 units will take 750 labour hours to produce. There will be a 90% learning curve that will continue until 3,550 units have been produced. Batches after this level will each take the same amount of time as the 71st batch. The batch size will always be 50 units.
Note. The learning index for a 90% learning curve is -0.152
What is the time taken for the 71st batch? I can work this out no problem it is 330.75.
The second question is puzzling me.
The total time for the first 16 batches of units was 8500 hours. What was the actual learning rate closest to (to the nearest %) ?
The answer is 92%. Could you kindly explain how this is worked out.
Thanks
The average time for 16 batches is 8500/16 = 531.25 hours per batch.
Using the doubling rule, and given the fact that 16 involves doubling 4 times, then:
r^4 = 531.25/750
Therefore r = fourth root of (531.25/750) = 0.92 or 92%
This is all explained in my free lectures on learning curves. The lectures are a complete free course for Paper PM and cover everything needed to be able to pass the exam well.
@johnmoffat said:
The average time for 16 batches is 8500/16 = 531.25 hours per batch.Using the doubling rule, and given the fact that 16 involves doubling 4 times, then:
r^4 = 531.25/750
Therefore r = fourth root of (531.25/750) = 0.92 or 92%
This is all explained in my free lectures on learning curves. The lectures are a complete free course for Paper PM and cover everything needed to be able to pass the exam well.
sorry, how is this put into the calculator to get the 0.92? i understand everything except that last equation.
The fourth root of a number (say ‘Y’), is whatever when multiplied by itself four times is equal to Y.
You must have covered this at school, and you must obviously have a calculator for Paper PM that can calculate 4th, 5th, etc roots.
(And you must watch my free lectures on learning curves 🙂 )
Ok thank you.
I have watched the lectures
I understand that, but the only thing that is confusing me is how to put it in my calculator to get the right answer.
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