Question:
Which of the following statements is true ?
A. If the feasible region for a LPP is unbounded, maximum or minimum of the objective function Z = ax + by may or may not exist.
B. Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region.
C. In a LPP, the minimum value of the objective function Z = ax + by (a, b > 0) is always 0 if origin is one of the corner points of feasible region.
D. In a LPP the max value of the objective function Z = ax + by is always finite.
Choose the correct answer from the options given below :
Which of the following statements is true ?
A. If the feasible region for a LPP is unbounded, maximum or minimum of the objective function Z = ax + by may or may not exist.
B. Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region.
C. In a LPP, the minimum value of the objective function Z = ax + by (a, b > 0) is always 0 if origin is one of the corner points of feasible region.
D. In a LPP the max value of the objective function Z = ax + by is always finite.
Choose the correct answer from the options given below :
A. If the feasible region for a LPP is unbounded, maximum or minimum of the objective function Z = ax + by may or may not exist.
B. Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region.
C. In a LPP, the minimum value of the objective function Z = ax + by (a, b > 0) is always 0 if origin is one of the corner points of feasible region.
D. In a LPP the max value of the objective function Z = ax + by is always finite.
Choose the correct answer from the options given below :
Updated On: Jun 13, 2024
- B, C and D only
- A and C only
- A, B and C only
- C and D only
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B) :A and C only.
Was this answer helpful?
0
0
Top Questions on Linear Programmig Problem
- The corner points of the feasible region determined by $x + y \leq 8$, $2x + y \geq 8$, $x \geq 0$, $y \geq 0$ 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:
- CUET (UG) - 2024
- Mathematics
- Linear Programmig Problem
- \(\text{The feasible region represented by the constraints } 4x + y \geq 80, \; x + 5y \geq 115, \; 3x + 2y \leq 150, \; x, y \geq 0 \; \text{of an LPP is:}\)
- CUET (UG) - 2024
- Mathematics
- Linear Programmig Problem
- Which one of the following represents the correct feasible region determined by the following constraints of an LPP?
\[ x + y \geq 10, \quad 2x + 2y \leq 25, \quad x \geq 0, \quad y \geq 0 \]- CUET (UG) - 2024
- Mathematics
- Linear Programmig Problem
- Solve the following linear programming problem graphically: Maximise \( Z = 2x + 3y \), subject to the constraints: \( x + y \leq 6, \, x \geq 2, \, y \geq 3, \, x \geq 0, \, y \geq 0. \)
- CBSE CLASS XII - 2024
- Mathematics
- Linear Programmig Problem
Assertion (A): The corner points of the bounded feasible region of a L.P.P. are shown below. The maximum value of \( Z = x + 2y \) occurs at infinite points.
Reason (R): The optimal solution of a LPP having bounded feasible region must occur at corner points.
- CBSE CLASS XII - 2024
- Mathematics
- Linear Programmig Problem
View More Questions
Questions Asked in CUET exam
- A shopkeeper earned a profit (in Rs.) by selling an item, which is three times the discount offered (in Rs.). If the discount offered is 6.25%, what is his profit percentage?
- CUET (UG) - 2024
- Profit and Loss
- If 75$\%$ of a first-order reaction gets completed in 32 minutes, the time taken for 50$\%$ completion of this reaction is:
- CUET (UG) - 2024
- Order of reaction
- Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to_____
Fill in the blank with the correct answer from the options given below.- CUET (UG) - 2024
- Electrostatics
- The total number of sigma bonds in P$_4$O$_{10}$ is:
- CUET (UG) - 2024
- Chemical bonding and molecular structure
- For the reaction 2A₂(g) + ¼X(g) → 2A₂X(g),If the volume is increased to double its value by decreasing the pressure on it. If the reaction is first order with respect to X and second order with respect to A2, the rate of reaction will:
- CUET (UG) - 2024
- Chemical Reaction
View More Questions