# learning curve

This topic contains 5 replies, has 3 voices, and was last updated by  John Moffat 5 months, 3 weeks ago.

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• josy87
Participant

Hi Sir

The first batch of a new product took six hours to make and the total time for the first 16 units was 42.8 hours, at which point the learning effect came to an end.

Calculate the rate of learning

I got the equation 42.8 = 6*16*\$4
Sir how to use the calculator if \i want to work with log as its easier for me.6
the equation for the answer is 42.8 = 16 x (6 x r4), why as it should start with 6?

Participant

How do you estimate the learning rate and learning effect

John Moffat
Keymaster

I don’t understand where you got your first equation from!

The average time per unit for 16 units is 42.8 / 16 = 2.675

The average time for 1 unit is 6 hours.
If the learning rate is r, then the average time for 2 units is 6 x r

Average time for 4 units is 6 x r^2

Average time for 8 units is 6 x r^3

Average time for 16 units is 6 x r^4

so 6 x r^4 = 2.675

r^4 = 2.675 / 6 = 0.44583

so r = 0.817

josy87
Participant

Goodness thanks Sir. you make F5 almost easier than F6. Again THANKS

josy87
Participant

r^4 = 2.675 / 6 = 0.44583

so r = 0.817
which button on the calculator to use
i used Ln 0.44583/ Ln 4 but its not working

John Moffat
Keymaster

You are welcome

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