Throw To The Dogs Meaning

(idiomatic) To give up on something valuable.

Example: 1623, William Shakespeare, Macbeth, act 5, sc. 3:
  Throw physic to the dogs; I'll none of it.
1945, Karl E. Ettinger, Public Relations Directory and Yearbook‎, page 45:
  Let's hope it will not throw "to the dogs" its new-found opportunity for winning back public favor and respect.