Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

If the objective function for an LPP is $x=3x-4y$ and the corner points for the bounded feasible region are (0, 0), (5, 0), (6, 5), (6, 8), (4, 10) and (0, 8), then the minimum value of z occurs at :

Options:

(0,0)

(6, 5)

(0, 8)

(4, 10)

Correct Answer:

(0, 8)

Explanation:

The correct answer is Option (3) → (0, 8)

$Z=3x-4y$

 Points   values of Z 
(0, 0) 0
(5, 0) 15
(6, 5) -2
(6, 8) -14
(4, 10) -28
(0, 8) -32

Minimum value occurs at (0, 8)