  This paper presents a method which is identical to simplex method phase 1,
but do not need any artificial variable (or artificial constraints). So, the
new method works in original variable space but visits the same sequence of
pivots as simplex method does. Recently, (Inayatullah, Khan, Imtiaz & Khan, New
artificial-free Phase 1 Simplex Method, 2009) claimed a similar method, here in
this paper we have presented a counter example which shows in some special
conditions of degeneracy their method may deviate from the simplex path.
  Because of its simplicity, the method presented in this paper is highly
classroom oriented. So, indeed there is no need to work with artificial
variables (or artificial constraints) in simplex method any more.
