Abstract: Shrink films having an outstanding balance of physical properties and shrink properties are manufactured from “pseudohomogeneous” linear low density polyethylene resin. The preferred pseudohomogeneous resins used in the present invention are prepared with an advanced Ziegler Natta catalyst (having a magnesium component and a titanium component), preferably in medium pressure solution polymerization process. The films of this invention may be employed in a variety of uses, including, 1) “overwrap” packaging to protect goods during transportation, distribution, handling and display; and 2) food packaging, such as shrink wrap for frozen poultry, primal meat cuts and processed meat and cheese products.