Abstract: An elastic drawstring for use in a plastic liner bag is disclosed. The drawstring is elongated and then relaxed to secure the top of the bag to a receptacle and subsequently used to close the bag when filled. The drawstring is formed from an elastomeric polyolefin, preferably a linear low density polyethylene, and contains material comprising polypropylene. The polypropylene addition provides the drawstring with improved modulus or stiffness and improved tensile yield. Improving these properties gives the drawstring a stronger holding force for maintaining the bag in the receptacle and in a closed position when the bag is removed from the receptacle. In addition, the top of the bag has perfed notches at each side that break away to expose the ends of the elastic drawstrings when the consumer stretches the drawstrings around the top of the receptacle. These perfed notches allow for easier manufacturing of the bag.