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- This topic has 4 replies, 2 voices, and was last updated 1 year ago by John Moffat.

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- November 4, 2021 at 6:20 pm #639931
Is it true that we only get the avg time per unit when we double the cumulative output (ie units produced).

But to deal with situations when we are not doubling the output then instead we need to apply the formula (i.e. Y = ax^b) because we cannot calculate the total time taken by 5 units or 6 units with the doubling rule.

[Using example 2]

Y = 200 x (16)^-0.2345 = 104.40125Total Time for 16 batches = (16 x 104.40125) = 1670.42

Total Time for 1 batches =————————–= (200)

Total Time for 15 batches =————————= 1470.42If we need to calculate what is the time taken by 15th batch (i.e. the time taken by the 15th batch specifically) then we need to use only formula approach like this:

[Using example 2]

Y = 200 x (16)^-0.2345 = 104.40125

Y = 200 x (15)^-0.2345 = 105.99306Total Time taken by 16 batches = (16 x 104.40125) = 1670.42

Total Time taken by 15 batches = (15 x 105.99306) = (1589.89)

Total Time taken by 15th batch =————————-= 80.53The total Time taken by the 15th batch is 80.53 hours. However, the total time taken by all15 batches is 1589.89 hours.

It does not really matter whether we compare Total time taken by 16 batches with 15 batches or 17 batches the difference would be still the same as 80.53 hours.

I apologize to ask you this again. I hope you will not mind. Thank you 🙂

November 5, 2021 at 9:09 am #639972What you have done is correct except for the fact that the 80.53 is the time for the 16th batch and not the time for the 15th batch.

Also, it does matter what total times you compare. If you took the difference between the total time for 17 batches and the total times for 16 batches then you would get the time for the 17th batch and this would not be the same – it would be a little smaller because the learning effect means that each extra batch will take less time.

November 5, 2021 at 9:09 am #639973What you have done is correct except for the fact that the 80.53 is the time for the 16th batch and not the time for the 15th batch.

Also, it does matter what total times you compare. If you took the difference between the total time for 17 batches and the total times for 16 batches then you would get the time for the 17th batch and this would not be the same – it would be a little smaller because the learning effect means that each extra batch will take less time.

November 5, 2021 at 9:44 am #639986Thanks for your previous answer 🙂

Please also tell me that the average time per unit is only an estimate that how many hours will be required to produce the product?

(what do you mean by when you say average!)

November 5, 2021 at 3:48 pm #640010If learning curve theory works (which we assume it does in exams), then it is not an estimate – it is the exact time.

By average it means the average time taken per batch or per unit when they produce a certain number of batches or units.

Have you watched my free lectures on this?

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