Textiles & Apparel Manufacturing worked example

Dye Batch Cost at 66% right-first-time dye yield: a worked example

This worked example runs the dye batch cost numbers for a tougher week than the baseline: 66% right-first-time dye yield instead of the typical 92%. Estimates the all-in cost of a single dye lot including dyestuff, chemicals, yield, and machine setup.

The inputs for this scenario

  • Fabric weight per dye batch: 450 kg (held at the documented default)
  • Dyestuff and auxiliary chemical rate: 6.8 $/kg (held at the documented default)
  • Right-first-time dye yield: 66 % (the input this scenario stresses; the baseline uses 92)
  • Machine loading and utility setup charge: 260 $ (held at the documented default)

Working through the calculation

  • The calculation starts from the formula this tool documents: Batch cost = fabric weight x dye-and-chemical rate x first-time yield + setup charge.
  • Total dye batch cost works out to 2,280 $ at these inputs, and this is the headline figure for the scenario.
  • Dye batch cost per unit works out to 5.07 $ / piece at these inputs.
  • Variable dye batch cost works out to 2,020 $ at these inputs.
  • Fixed dye batch cost adder works out to 260 $ at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where right-first-time dye yield sits at 92% and the headline result is 3,075 $, this scenario comes in 25.87% below the baseline at 2,280 $.
  • Use it when quoting a dyeing order, comparing package vs jet routes, or deciding a minimum viable lot size for a given shade. 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

  • Total dye batch cost: 2,280 $ (headline result)
  • Dye batch cost per unit: 5.07 $ / piece
  • Variable dye batch cost: 2,020 $
  • Fixed dye batch cost adder: 260 $

Run it with your numbers

  • To rerun this with your own numbers, open the live Dye Batch Cost calculator, set right-first-time dye yield to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.