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: D. The side opposite the origin
- A. The side containing the origin
- B. Only the vertical axis
- C. Only the horizontal axis
- D. The side opposite the origin
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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Linear programming models the maximum or minimum of an objective function subject to linear constraints. Questions involve translating word conditions into inequalities, drawing the feasible region, identifying corner points and evaluating the objective function, including cases involving non-negativity restrictions and redundant constraints.
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