Coatings, Inks & Specialty Chemical Production worked example

Formula Scale Up at 98% scale-up execution uptime: a worked example

Push scale-up execution uptime up to 98% and the picture changes. This example computes every intermediate figure at that operating point. planning pilot batches, plant trials, or production scale-up quantities

The inputs for this scenario

  • Scaled batch size per run: 500 lb / run (unchanged)
  • Planned scale-up runs: 4 runs (unchanged)
  • Scale-up execution uptime: 98 % (raised for this scenario; the documented default is 85)
  • First-pass formula release yield: 92 % (unchanged)

Working through the calculation

  • Applying the documented formula (Gross formula scale up = scaled batch size per run × planned scale-up runs) to the inputs above produces each figure below.
  • At this operating point the engine returns 1,803 lb for usable formula scale up, the number this scenario is built around.
  • At this operating point the engine returns 2,000 lb for gross formula scale up.
  • At this operating point the engine returns 40 lb for formula scale up lost to downtime.
  • At this operating point the engine returns 157 lb for formula scale up lost to yield.

How this compares with the baseline

  • Against the tool's baseline example, where scale-up execution uptime sits at 85% and the headline result is 1,564 lb, this scenario comes in 15.29% above the baseline at 1,803 lb.
  • It computes usable scaled output in pounds from gross batch output discounted by execution uptime and first-pass formula release yield. The value of this scenario is the size of the gap it exposes: that gap, priced out over a year, is the budget you can justify spending to close it.

Results at a glance

  • usable formula scale up: 1,803 lb (headline result)
  • gross formula scale up: 2,000 lb
  • formula scale up lost to downtime: 40 lb
  • formula scale up lost to yield: 157 lb

Run it with your numbers

  • Every input above is editable in the live Formula Scale Up calculator, which recalculates instantly and can be shared with the inputs intact.

Last reviewed 2026-05-12.