Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

In a LPP, If the objective function $Z=ax+by $ has the same maximum value at two corner points of the feasible region, then the number of points at which $Z_{max}$ occurs is :

Options:

0

2

finite

Infinite

Correct Answer:

Infinite

Explanation:

The correct answer is Option (4) → Infinite

In case Z has maximum value for two corner points then maximum value exist on all points on line joining the corner points on which maximum value has ocurred.