Q90 / 150 · MHT CET 2007 · Mathematics

The constraints $-x_{1}+x_{2} \leq 1,-x_{1}+3 x_{2} \leq 9$; $x_{1}, x_{2} \geq 0$ defines on

  • A
    bounded feasible space
  • Correct answer
    B
    unbounded feasible space
  • C
    both bounded and unbounded feasible space
  • D
    None of the above

Solution

Given constraints are $-x_{1}+x_{2} \leq 1,-x_{1}+3 x_{2} \leq 9$ and $x_{1}, x_{2} \geq 0 .$ It is clear from the figure that feasible space (shaded portion) is unbounded.

Hence, the correct answer is option: 'B'.

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