Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

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

Options:

2

0

finite

infinite

Correct Answer:

infinite

Explanation:

The correct answer is Option (4) → infinite

$Z_{max}$ occurs between all the points on the line joining the two given points

⇒ infinite number of points