Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

If Max $Z=x+2y $  subject to $x+y ≥ 4, 3x+2y ≤ 12, x ≤ 2, x, y ≥ 0. $

Then for optional solution of above LPP _____________ .

Options:

$Z=12$

$Z=18$

$Z=16$

$Z=24$

Correct Answer:

$Z=12$

Explanation:

The correct answer is Option (1) → $Z=12$

The objective function is,

$Z=x+2y$

$Z_{max}(0,6)=0+2×6$

$=12$ is the max. value