We embellish Duncan's cost model with Taguchi's loss function to incor
porate losses that result from both inherent variability due to assign
able causes. Whereas Duncan applies a penalty cost for operating out o
f control, he does not show how this cost can be obtained or quantifie
d. We illustrate, analyze, and evaluate this model utilizing hypotheti
cal cost figures and process parameters. We also suggest adjustments t
o control chart design parameters when there are process improvements
over time.