Discuss the following pro and con positions on using optimization models to design control charts:

Con: “These models are useless to me because I don’t feel I can accurately estimate the values of the required inputs.”

Pro: “The choice of specific values of n and k in the construction of X bar charts means that you are assuming values for the various system costs and parameters. You might as well take the bull by the horns and obtain the best estimates you can and use those to design the X bar chart.”