1. A system for producing a paper product, the system comprising: (A) a paper machine for forming a paper web, the paper web including a plurality of sections in a sequence, the paper machine including: (a) a web analysis unit to perform at least one of inspecting the paper web and identifying properties in the paper web; (b) a marking unit to mark the paper web with a plurality of marks, at least one mark being assigned to each of the plurality of sections; and (c) a winder to wind the paper web into a parent roll, the winder being positioned after the web analysis unit and the marking unit; (B) an analysis tool configured to assign an action score to each section of the paper web based upon the identified properties in that section of the paper web, at least one action score having an action value; and (C) a converting line for converting the paper web into a paper product, the converting line having a plurality of operating parameters and including: (a) an unwind stand to unwind the paper web from the parent roll; (b) a mark reading unit that (i) reads at least one of the plurality of marks on the paper web and (ii) produces a corresponding output from the mark that has been read; (c) a controller that receives the output from the mark reading unit and is configured: (i) to obtain the action score associated with a second one of the plurality of marks, the second one of the plurality of marks being the next mark with an action value after the at least one mark read by the reading unit, (ii) to calculate a distance between the at least one mark read by the reading unit and the second one of the plurality of marks, and (iii) to change at least one operational parameter of the converting line based upon the action score of the second one of the plurality of marks when the calculated distance is less than a threshold; and (d) a finisher, the paper web being fed to the finisher and converted into a paper product.