Method of producing polyethylene and polyethylene thereof

A polymerization catalyst system comprising a first catalyst and a second catalyst to facilitate polymerization of ethylene into a polyethylene in a reactor, and the polymerization catalyst system configured with respect to reactor conditions and an amount of the second catalyst fed to the reactor, to control melt index (MI) and density of the polyethylene based on a target melt flow ratio (MFR) in a range of from 20 to 60, wherein the density is in a range from 0.912 to 0.940 g/cm3 as measured in accordance with ASTM D-792, the polyethylene having:

• a value for Mw1/Mw2 of at least about 2.0, wherein Mw1/Mw2 is a ratio of a weight average molecular weight (Mw1) for a first half of a temperature rising elution (TREF) curve to a weight average molecular weight (Mw2) for a second half of the TREF curve;
• and
• a value for Tw1−Tw2 of less than about −15° C., wherein Tw1−Tw2 is a difference of a weight average elution temperature (Tw1) for the first half of the TREF curve to a weight average elution temperature (Tw2) for the second half of the TREF curve.