Question
Mathematics Question on Linear Programmig Problem
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
B, C and D only
B
A and C only
C
A, B and C only
D
C and D only
Answer
A and C only
Explanation
Solution
The correct option is (B) :A and C only.