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
- 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
- \(\text{The feasible region represented by the constraints } 4x + y \geq 80, \; x + 5y \geq 115, \; 3x + 2y \leq 150, \; x, y \geq 0 \; \text{of an LPP is:}\)
- CUET (UG) - 2024
- Mathematics
- Linear Programmig Problem
- 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
- Match List-I with List-II
List-I (Name of account to be debited or credited, when shares are forfeited) List-II (Amount to be debited or credited) (A) Share Capital Account (I) Debited with amount not received (B) Share Forfeited Account (II) Credited with amount not received (C) Calls-in-arrears Account (III) Credited with amount received towards share capital (D) Securities Premium Account (IV) Debited with amount called up
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Accounting for Share and Debenture Capital
- Find out which of the answer figures completes the figure matrix :
- CUET (UG) - 2024
- Image Based
- In the given analogy, choose the word which will replace the question mark: NEGI : MVTR :: SING : ?
- P, Q, R, and S are four wires of resistances 3 Ω, 3 Ω, 3 Ω, and 4 Ω respectively. They are connected to form the four arms of a Wheatstone bridge circuit. The resistance with which S must be shunted in order that the bridge may be balanced is__________
Fill in the blank with the correct answer from the options given below.- CUET (UG) - 2024
- Current electricity
- For the given mixed combination of resistors calculate the total resistance between points A and B.
Choose the correct answer from the options given below.- CUET (UG) - 2024
- Current electricity
View More Questions