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If the feasibile region for a LPP is und...

If the feasibile region for a LPP is undoubed, maximum or minimum of the objective function Z = ax + by may or may not exist.

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Consider the following statements I. If the feasible region of an LPP is undbounded then maximum or minimum value of the obJective function Z = ax + by may or may not exist . II. Maximum value of the objective function Z = ax + by in an LPP always occurs at only one corner point of the feasible region. Ill. In an LPP, the minimum value of the objective function Z = ax + by is always 0, if origin is one of the corner point of the feasible region. IV. In an LPP, the maximum value of the objective function Z = ax + by is always finite. Which of the following statements are true?

In the feasible region for a LPP is ..., then the optimal value of the objective function Z= ax + by may or may not exist.

In a LPP, the maximum value of the objective function Z = ax +by is always finite.

Objective function of an LPP is

In a LPP, the objective function is always.

Let R be the feasible region (convex polygon) for a linear programming problem and Z = ax + by be the objective function. Then, which of the following statements is false? A) When Z has an optimal value, where the variables x and y are subject to constraints described by linear inequalities, this optimal value must occur at a corner point (vertex) of the feasible region . B)If R is bounded, then the objective function Z has both a maximum and a minimum value on Rand each of these occurs at a corner point of R . C) If R is unbounded, then a maximum or a minimum value of the objective function may not exist D) If R is unbounded and a maximum or a minimum value of the objective function z exists, it must occur at corner point of R

The feasible region for an LPP is shown in the Let Z = 4x + 3y be the objective function. Maximum of Z occur at :

In the given graph, the feasible region for a LPP is shaded. The objective function Z = 2x – 3y, will be minimum at:

Which of the following statements is false? A) The feasible region is always a concave region B) The maximum (or minimum) solution of the objective function occurs at the vertex of the feasible region C) If two corner points produce the same maximum (or minimum) value of the objective function, then every point on the line segment joining these points will also give the same maximum (or minimum) two. values D) All of the above

NCERT EXEMPLAR-LINEAR PROGRAMMING-Linear Programming
  1. The corner points of the feasible region determined by the system of l...

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  2. The feasible solution for a LPP is shown in following figure. Let Z=3x...

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  3. Refers to question 27. Maximum of Z occurs at

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  4. Refers to question 7, maximum value of Z+minimum value of Z is equal t...

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  5. The feasible region for an LPP is shown in the following figure. Let F...

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  6. Refers to question 30. Minimum value of F is

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  7. Corner points of the feasible region for an LPP are (0,2),(3,0),(6,0),...

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  8. Refers to question 32, maximum of F-minimum of F is equal to

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  9. Corner points of the feasible region determined by the system of linea...

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  10. In a LPP, the linear inequalities or restrictions on the variables cal...

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  11. In a LPP, the objective function is always.

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  12. In the feasible region for a LPP is ..., then the optimal value of the...

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  13. In a LPP, if the objective function Z=ax+by has the same maximum value...

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  14. A feasible region of a system of linear inequalities is said to be ......

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  15. A corner point of a feasible region is a point in the reqion which is ...

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  16. The feasible region for an LPP is always a..polygon

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  17. If the feasibile region for a LPP is undoubed, maximum or minimum of t...

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  18. Maximum value of the objective function Z = ax +by in a LPP always occ...

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  19. In a LPP, the maximum value of the objective function Z = ax +by is al...

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  20. In a LPP, the maximum value of the objective function Z = ax +by is al...

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