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The corner points of the feasible region determined by the system of linear constraints are (0,3), (1, 1) and (3, 0). Let Z=px+qy, where p, q>0, be the objective function. Then the condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) is:
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CUET 2025 English Language Mock 01
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50 Questions
200 Marks
45 Mins
EnglishSimilar Questions
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Which of the following sets is not convex?
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The number of Basic variables in any solution of Transportation problem with m-origins and n-destinations is
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- 4)An objective function Z=ax + by is maximum at points (8, 2) and (4, 6). If a ≥ 0 and b ≥ 0 and ab = 25, then the maximum value of the function is equal to:
- 5)The corner points of the feasible region determined by
x+y≤8, 2x+y≥8, x≥0, y≥0
are A (0, 8), B (4, 0) and C (8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is: - 6)The feasible region represented by the constraints 4x+y≥80, x+5y≥115, 3x+2y≤150, x, y≥0 of an LPP is
- 7)Which one of the following represents the correct feasible region determined by the following constraints of an LPP?
- 8)
For the objective function z = px + qy, where p, q > 0 the corner points of the feasible region determined by the system of linear constraints are - (0, 10), (5, 5), (15, 15) and (0, 20), condition on p and q so that maximum of z occurs at both the points (15, 15) and (0, 20) is:
- 9)The corner points of the feasible region determined by the following system of linear inequalities 2x + y≤10, x +3y≤15, x, y ≥0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let z= px + qy where p and q > 0.
The condition on p and q so that the maximum of z. occurs at both (3, 4) and (0, 5) is: - 10)Choose the wrong statement from the following:
