A calculation of minimum-dissipation states is presented, where the resistivity profile is made consistent with the resulting current and magnetic-field profiles. Helicity balance and constant toroidal flux are imposed as constraints, and it is assumed that the resistivity and thermal conductivity have a classical dependence upon temperature, with a constant factor multiplying the latter to account for anomalous heat transport. Our results are in general agreement with the profiles expected for reversed field pinches. An iterative method is employed to calculate the resistivity and current and magnetic-field profiles that minimize the dissipation.