Slip package with improved initial setting

A system for use in a well, comprising:

• a liner hanger comprising:
• a mandrel;
• a cone mounted about the mandrel, the cone having tapered slots;
• a plurality of tapered slips slidably received in the tapered slots,
• each tapered slip of the plurality of tapered slips comprising a plurality of teeth;
• and
• an actuator mounted about the mandrel to selectively shift the plurality of tapered slips between a radially contracted position and a radially expanded, set position,
• wherein the cone comprises a cone ramp angle,
• wherein each tapered slip of the plurality of tapered slips comprises a slip ramp angle,
• wherein the cone ramp angle is different from the slip ramp angle, and
• wherein, upon an actuation force by the actuator:
• each tapered slip of the plurality of tapered slips contacts the tapered slot of the cone in which the tapered slip is slidably received at a single point at a first end of the tapered slip;
• and
• a second end of the tapered slip is unsupported, causing the first end of the tapered slip to rise toward and bite into a host casing.