Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

The minimum value of the objective function $Z=2 x+10 y$ for linear constraints $x-y \geq 0, x-5 y \leq-5$ and $x, y \geq 0$ is

Options:

10

15

12

8

Correct Answer:

15

Explanation:

Required region is unbounded whose vertex is $\left(\frac{5}{4}, \frac{5}{4}\right)$

Hence the minimum value of objective function is $=2 \times \frac{5}{4}+10 \times \frac{5}{4}=15$.