Abstract: A method to purifying reclaimed polymers for improving the grade and consistency in the properties of mixed recycled plastic to increase their use in secondary applications. A desired property of the purified reclaimed polymer is determined with a first parameter value of a reclaimed polymer feedstock also determined to provide the desired property in the purified reclaimed polymer. Ratios of polymer feedstocks with differing parameter values are combined to give the first parameter value. These polymer feedstocks are then dissolved into a solution before the purer polymer with the desired property is separated out. Embodiments of reactor vessels for the dissolution step are described. Polyethylene feedstocks can be used with parameters of density and molecular weight to provide high grade polyethylene with desired physical and mechanical properties such as density, molecular weight, strength, stress, stiffness and impact resistance.