Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

The minimum value of the objective function $Z= 30x + 10 y $ subject to the constraints $x+2y≤30, 3x+y ≥30, 4x+3y≥60, x, y ≥ 0$ is

Options:

100

450

300

1200

Correct Answer:

300

Explanation:

The correct answer is Option (3) → 300

$Z_{min}(10,0)=30×10+10×0$

$=300$