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Specifically the personal VPF coming from the Negative Exponential utility function is imposed on the Logarithmic utility function for respondent 13 and on check details both the Constrained Power utility function and the Logarithmic utility function for the following respondents: 6, 7, 12, 24, 27, 39, 58, 59, 70, 77, 85, 86, 88, 91, 97, 99, 100, 107, 108, 109, 113, 114, 122, 123, 128, 130, 145, 148, 152, 161, 163, 164 and 165. This anomalous substitution does not appear to have been acknowledged by the authors, nor justified. In some instances the result found using the Negative Exponential utility function appears to have been used because no valid number would have been returned by the actual utility function specified. For example, respondent 114 gave y ?X114?=?x ?X114?=?500, where y ?X114 is respondent 114s MAC for receiving injury X ?, while x ?X114 is his MAP for a system providing protection against injury X ?. From Eq. (B.20) derived in Appendix B, the equality, y ?X114?=?x ?X114, yields an incomputable, infinite value for the MRS, m ?X114, associated with injury X ?, and this leads in turn to an incomputable, infinite value for mD1142 when the Logarithmic utility function is used. By contrast, HSE/Peg/Nov 1997/SC suggests that individual 114's personal VPF, mD1142, found using the Logarithmic utility, is ?5045, which is the result found from using the Negative Exponential utility function. The equality, y ?Xi?=?x ?Xi, occurs also in the data collected for respondents 13, 108, 128 and 130. Rapamycin The present authors have excluded the resulting numbers for mDi2, as they are not computable for the Logarithmic utility function (see Eq. (B.20)), so that the number of usable results, n, is recorded in Table 1 as n?=?146, rather than n?=?151, as declared by Carthy et al. for that utility function. There is a further, important issue concerning the cases where the MAC for injury, X, is strictly less than the MAP: yXi?Epacadostat cell line they are computable. In a similar fashion, it was found that common figures for the personal VPF, mDi3, found from 3-part chaining had been applied in HSE/Peg/Nov 1997/SC across all the reported utility functions for 32 cases, namely for respondents 7, 12, 13, 16, 19, 24, 58, 59, 65, 70, 77, 79, 84, 85, 86, 88, 99, 101, 112, 113, 122, 123, 124, 126, 130, 148, 150, 152, 159, 161, 163 and 169. Once again the figure found using the Negative Exponential utility function appears to have been substituted in place of the figure (or lack of one) coming from the Constrained Power and Logarithmic utility functions, without acknowledgement or justification.