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Linear Programming - ETEA Model Test MCQS - Part - IV

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

    The region represented by the inequation system $x,\ y\ge 0$ , $y\le 6,\ x+y\le 3$ , is
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    Unbounded in first quadrant
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    Unbounded in first and second quadrants
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    Bounded in first quadrant
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    None of these
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  • #2
    The solution set of the inequation $2x+y>5$ , is
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    Half plane that contains the origin
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    Open half plane not containing the origin
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    Whole xy-plane except the points lying on the line $2x+y=5$
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    None of these
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    Comment


    • #3
      If a point (h, k) satisfies an inequation $ax+by\ge 4$ , then the half plane represented by the inequation is
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      The half plane containing the point (h, k) but excluding the points on $ax+by=4$
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      The half plane containing the point (h, k) and the points on $ax+by=4$
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      Whole xy-plane
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      None of these
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      Comment


      • #4
        Inequation $y-x\le 0$ represents
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        The half plane that contains the positive x-axis
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        Closed half plane above the line $y=x$ which contains positive y-axis
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        Half plane that contains the negative x-axis
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        None of these
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        Comment


        • #5
          Objective function of a L.P.P. is
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          A constraint
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          A function to be optimized
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          A relation between the variables
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          None of these
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          Comment


          • #6
            The optimal value of the objective function is attained at the points
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            Given by intersection of inequations with axes only
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            Given by intersection of inequations with x-axis only
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            Given by corner points of the feasible region
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            None of these
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            Comment


            • #7
              The objective function $z=4x+3y$ can be maximized subjected to the constraints $3x+4y\le 24$ , $8x+6y\le 48$ , $x\le 5,\ y\le 6;\ \ x,\ y\ge 0$
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              At only one point
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              At two points only
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              At an infinite number of points
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              None of these
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              Comment


              • #8
                If the constraints in a linear programming problem are changed
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                The problem is to be re-evaluated
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                Solution is not defined
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                The objective function has to be modified
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                The change in constraints is ignored
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                Comment


                • #9
                  Which of the following statements is correct
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                  Every L.P.P. admits an optimal solution
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                  A L.P.P. admits a unique optimal solution
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                  If a L.P.P. admits two optimal solutions, it has an infinite number of optimal solutions
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                  The set of all feasible solutions of a L.P.P. is not a convex set
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                  Comment


                  • #10
                    Shaded region is represented by
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                    $2x+5y\ge 80,\ x+y\le 20,\ x\ge 0,\ y\le 0$
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                    $2x+5y\ge 80,\ x+y\ge 20,\ x\ge 0,\ y\ge 0$
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                    $2x+5y\le 80,\ x+y\le 20,\ x\ge 0,\ y\ge 0$
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                    $2x+5y\le 80,\ x+y\le 20,\ x\le 0,\ y\le 0$
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                    Comment

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