Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

The maximum value of \(z=\{min(x_{1}-20),min(-3x_{1}+10)\}\) such that \(0\leq x_{1}\leq 10\) is

Options:

\(-10\)

\(-30\)

\(-20\)

None

Correct Answer:

\(-20\)

Explanation:

$\text{min}(x_{1}-20)$ when $x=0$

$⇒-20$

$\text{min}(-3x_{1}+10)$ when $x=10$

$⇒x=-10$

$∴\text{min}\{-20,-10\}=-20$