Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

If the objective function for an LPP is $z=3x+4y$ and the corner points for unbounded feasible region are (9, 0),(4, 3), (2, 5) and (0, 8), then the minimum value of z occurs at :

Options:

(4, 3)

(9, 0)

(2, 5)

(0, 8)

Correct Answer:

(4, 3)

Explanation:

The correct answer is Option (1) → (4, 3)

The objective function is,

$Z=3x+4y$

$Z_{min}=Z(4,3)$

$=3(4)+4(3)$

$=12+12=24$