Finishing worked example

Line Density at 65% rack utilization: a worked example

This worked example runs the line density numbers for a tougher week than the baseline: 65% rack utilization instead of the typical 90%. Calculate parts per foot of finishing conveyor from loaded parts, conveyor length, and utilization.

The inputs for this scenario

  • Loaded parts on line: 120 parts (held at the documented default)
  • Loaded conveyor length: 60 ft (held at the documented default)
  • Rack utilization: 65 % (the input this scenario stresses; the baseline uses 90)

Working through the calculation

  • The calculation starts from the formula this tool documents: Density = quantity รท length.
  • Effective density works out to 1.3 parts / ft at these inputs, and this is the headline figure for the scenario.
  • Raw density works out to 2 parts / ft at these inputs.
  • Effective quantity works out to 78 pieces at these inputs.
  • Length works out to 60 ft at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where rack utilization sits at 90% and the headline result is 1.8 parts / ft, this scenario comes in 27.78% below the baseline at 1.3 parts / ft.
  • Use it when evaluating load patterns, comparing rack designs, or costing a run to confirm the line is dense enough to be profitable. A result at this level usually justifies acting on the stressed input before touching anything else, because every other figure in the table is downstream of it.

Results at a glance

  • Effective density: 1.3 parts / ft (headline result)
  • Raw density: 2 parts / ft
  • Effective quantity: 78 pieces
  • Length: 60 ft

Run it with your numbers

  • To rerun this with your own numbers, open the live Line Density calculator, set rack utilization to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.