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The feasible region represented by the constraints $x_1 - x_2 \leq 1, x_1 + x_2 \geq 3, x_1 \geq 0, x_2 \geq 0$ of the objective function Max $Z=3x_1 + 2x_2$ is

  1. A polygon
  2. Unbounded feasible region
  3. A point
  4. None of these
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1 Answer

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Ans is B as feasible region away from the origin is unbounded

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But region for the inequality x1−x2≤1 should be towards the origin instead of away from it as if we put (0,0) in it we get 0 which is less then 1 hence (0,0) will lie in that region.
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