Convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicated whether or not it is feasible.   x1 + 2x2 ? 144x1 + x2 ? 16x1, x2 ? 0

A.

  x1 + 2x2 + s1 = 14
4x1 + x2 + s2 = 16


Feasible: (A), (C), (D), (F)
Not feasible: (B), (E)
B.
  x1 + 2x2 + s1 = 14
4x1 + x2 + s2 = 16


Feasible: (A), (B), (E), (F)
Not feasible: (C), (D)
C.
  x1 + 2x2 + s1 = 14
4x1 + x2 + s2 = 16


Feasible: (A), (B), (E), (F)
Not feasible: (C), (D)
D.
  x1 + 2x2 + s1 ? 14
4x1 + x2 + s2 ? 16


Feasible: (A), (B), (E)
Not feasible: (C), (D), (F)


Answer: C

Mathematics

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