The region represented by the inequation system $x,\ y\ge 0$ , $y\le 6,\ x+y\le 3$ , is
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Linear Programming  ETEA Model Test MCQS  Part  IV
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If a point (h, k) satisfies an inequation $ax+by\ge 4$ , then the half plane represented by the inequation is0The half plane containing the point (h, k) but excluding the points on $ax+by=4$0%0The half plane containing the point (h, k) and the points on $ax+by=4$0%0Whole xyplane0%0None of these0%0
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The optimal value of the objective function is attained at the points0Given by intersection of inequations with axes only0%0Given by intersection of inequations with xaxis only0%0Given by corner points of the feasible region0%0None of these0%0
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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$0At only one point0%0At two points only0%0At an infinite number of points0%0None of these0%0
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Which of the following statements is correct0Every L.P.P. admits an optimal solution0%0A L.P.P. admits a unique optimal solution0%0If a L.P.P. admits two optimal solutions, it has an infinite number of optimal solutions0%0The set of all feasible solutions of a L.P.P. is not a convex set0%0
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