Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

The optimal value of the LPP :

max $z= 4x+ y $

$x+ y ≤ 50$

$3x+ y ≤  90$

$x,y ≥ 0 $ occurs at the point :

Options:

(40, 10)

(30, 0)

(20, 30)

(0, 50)

Correct Answer:

(30, 0)

Explanation:

The correct answer is Option (2) → (30, 0)

Maximum, $Z=4×30+1×0$

$=120$