The general applicability of the limit predicted by Equation 19 was confirmed for both yield calculations by Equations 11-12 and the recovery calculations by Equations 13-14 through further investigations covering a wide range of yields and a mixture of individual feed assays and species recoveries. When the inequality of Equation 19 is satisfied, Equations 11-14 remain reasonable approximations. However, below that limit the yield and recovery error amplifications can be far greater than predicted by Equations 11-14.