Calculating Learning rate

How you can use r*4

##The major rule to master is the learning rate comes into play when production is doubled

##The Average time to make a batch unit or whatever is reduced by learning rate when production doubles

Therefore this is how production doubles

1st batch

2nd batch

4th batch

8th batch

16th batch

You did not mention what the time taken to make first batch was so l will use x

Therefore

First batch Average time = xhrs/1unit

Second Batch Average time =xhrs multiplied by learning rate (r)

4th Batch Average time = xhrs multiplied by learning rate (r)^2(r^2 means r to the power2)

8th Batch Average time = xhrs multiplied by learning rate (r)^3

16th Batch Average time =xhrs multiplied by learning rate (r)^4

From the question total time to make 16 batches is 8500hrs

So average time is 8500hrs/16 batches=531.25

Using our formulae of the 16th batch average time is equal to

xhrs (r)^4

and we know that our average time for the 16th batch is 531.25

hence we equate the two

so xhrs (r)^4 =531.25