Your calculation for takt are absolutely right taking an average demand is the wrong part. We take maybe a six month look ahead in orders that is the customer demand. Takt may change up to 8 times a year on some value streams.
In aerospace we had 9 different aircraft types one would be on a move rate of three a week some one a month each had an individual takt time based on the demand for that product.
The cycle time of each key stage or process was then evaluated if it was greater than takt you had to in goldratt terms exploit the constraint. You would create a yamazumi or line balance chart to identify the constrained stages from seeing this you can do many things .
Identify Value and Non Value add. eliminate the waste to get below takt. Introduce shifts on some stages or create identical stages called rate tooling. So you never under or overproduce as you are asking because the speed of your line increases and decreases with customer demand by flexing tooling positions and manpower.
Usually you had the luxury of one value stream getting faster as another slows down moving your manpower onto different contracts.
Hope you get this
All The Best
Frederick Winslow Taylor , the father of scientific management , introduced what are now called standardization and best practice deployment. In Principles of Scientific Management , (1911), Taylor said: "And whenever a workman proposes an improvement, it should be the policy of the management to make a careful analysis of the new method, and if necessary conduct a series of experiments to determine accurately the relative merit of the new suggestion and of the old standard. And whenever the new method is found to be markedly superior to the old, it should be adopted as the standard for the whole establishment."
Thanks for clearing up a general misconception. I myself used the term incorrectly for a while, then realized the difference – as you put it so clearly – and now I make sure to stress the distinction so others will not have the same confusion I did. In manufacturing, it may be self-evident, but in a service industry without automated / regulated flow, the terms are similar enough that its easy to be confused if you dont start with a good definition. Thanks for giving us that and a good example as well,