In a minimization linear programming problem, the feasible region is commonly located on which side of a constraint such as 2x + y ≥ 8?

Correct answer: B. The side opposite the origin

  • A. The side containing the origin
  • B. The side opposite the origin
  • C. Only the horizontal axis
  • D. Only the vertical axis

Explanation

The origin gives 0, which does not satisfy 2x + y ≥ 8. Therefore, the feasible half-plane lies on the side opposite the origin, subject to the other constraints.

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