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Linear Programming - ETEA Model Test MCQS - Part - III

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  • Linear Programming - ETEA Model Test MCQS - Part - III

    The true statement for the graph of inequations $3x+2y\le 6$ and $6x+4y\ge 20$ , is
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    Both graphs are disjoint
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    Both do not contain origin
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    Both contain point (1, 1)
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    None of these
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  • #2
    The vertex of common graph of inequalities $2x+y\ge 2$ and $x-y\le 3$ , is
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    (0, 0)
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    $\left( \frac{5}{3},\ -\frac{4}{3} \right)$
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    $\left( \frac{5}{3},\ \frac{4}{3} \right)$
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    $\left( -\frac{4}{3},\ \frac{5}{3} \right)$
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    Comment


    • #3
      A vertex of bounded region of inequalities $x\ge 0$ , $x+2y\ge 0$ and $2x+y\le 4$ , is
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      (1, 1)
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      (0, 1)
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      (3, 0)
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      (0, 0)
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      Comment


      • #4
        A vertex of the linear inequalities $2x+3y\le 6$ , $x+4y\le 4$ and $x,\ y\ge 0$ , is
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        (1, 0)
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        (1, 1)
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        $\left( \frac{12}{5},\ \frac{2}{5} \right)$
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        $\left( \frac{2}{5},\ \frac{12}{5} \right)$
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        Comment


        • #5
          A vertex of a feasible region by the linear constraints $3x+4y\le 18,\ 2x+3y\ge 3$ and $x,\ y\ge 0$ , is
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          (0, 2)
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          (4.8, 0)
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          (0, 3)
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          None of these
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          Comment


          • #6
            In which quadrant, the bounded region for inequations $x+y\le 1$ and $x-y\le 1$ is situated
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            I, II
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            I, III
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            II, III
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            All the four quadrants
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            Comment


            • #7
              The necessary condition for third quadrant region in xy-plane, is
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              $x>0,\ y<0$
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              $x<0,\ y<0$
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              $x<0,\ y>0$
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              $x<0,\ y=0$
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              Comment


              • #8
                For the following feasible region, the linear constraints are
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                $x\ge 0,\ y\ge 0,\ 3x+2y\ge 12,\ x+3y\ge 11$
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                $x\ge 0,\ y\ge 0,\ 3x+2y\le 12,\ x+3y\ge 11$
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                $x\ge 0,\ y\ge 0,\ 3x+2y\le 12,\ x+3y\le 11$
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                None of these
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                Comment


                • #9
                  The value of objective function is maximum under linear constraints
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                  At the center of feasible region
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                  At (0, 0)
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                  At any vertex of feasible region
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                  The vertex which is at maximum distance from (0, 0)
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                  Comment


                  • #10
                    The region represented by $2x+3y-5\le 0$ and $4x-3y+2\le 0$ , is
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                    Not in first quadrant
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                    Bounded in first quadrant
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                    Unbounded in first quadrant
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                    None of these
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                    Comment

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