Learnin curve

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 = 104.40125

Total Time for 16 batches = (16 x 104.40125) = 1670.42
Total Time for 1 batches =————————–= (200)
Total Time for 15 batches =————————= 1470.42

If 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 = 105.99306

Total 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 =————————-= 80.53

The 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 🙂