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Consider the Boolean function $F(w,x,y,z) = wy + xy + \overline{w}\:xyz + \overline{w}\:\overline{x}\:y + xz + \overline{x}\:\overline{y}\:\overline{z}.$ Which one of  the following is the complete set of essential prime implicants?

  1. $w,y,xz,\overline{x}\:\overline{z}$
  2. $w,y,xz$
  3. $y, \overline{x}\:\overline{y}\:\overline{z}$
  4. $y,xz,\overline{x}\:\overline{z}$
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