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Scenario
The firs batch of 100 units will take 1500 hours to be produced
learning rate is estimated to be 85% which continue until 6,400 units have been produced.
Batches after this will each take the same amount of time as the 64th batch. the batch size will always be 100 units.Q: The total time for the firs 16 batches of 100 units was 9,000 hours,What is actual learning rate?
Why are you attempting questions for which you do not have an answer? You should be using a Revision Kit from one of the ACCA approved publishers – they are full of exam standard (and past exam) questions, together with answers and explanations!
The average time per batch when they make 16 batches is 9,000/16 = 562.5 hours.
Since 16 batches involves doubling 4 times, then:
562.5 = 1500 x r^4 where r is the learning rate.
So r = the fourth root of (562.5/1500) = 0.7825 (or 78.25%)I explain all this in my free lectures on learning curves.
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Sorry sir, i have the kit with answer but i don’t understand the answer, and quite understand yours either i’m sorry.
how did you get the fourth root of (562.5/1500)?
i keep getting 0.375 instead of 0.7825That is because you are not taking the fourth root.
Depending on your calculator you can either take the square root of 0.375 and then take the square root a second time to get the fourth root, or alternatively you can take 0.375 to the power of 0.25 (because taking something to the power of 1/4 is the same as taking the fourth root).
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