Question: The constraints of a three-variable linear programming problem are stated here: X 3; Y 3; Z 1; X + Y +Z 15; X + Y

The constraints of a three-variable linear programming problem are stated here: X 3; Y 3; Z 1; X + Y +Z 15; X + Y 8; X + Z 6. Which of the following statements regarding the (X, Y, Z) points is TRUE?

  1. The optimal solution might be X=1, Y=9, Z=4
  2. A feasible solution might be X=3, Y=4, Z=3,
  3. The best feasible solution might be X=2, Y=6, Z=4
  4. An infeasible solution might be X=3, Y=5, Z=2,
  5. a) and c).
  6. none of the above

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