Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Maximize \(Z=10x_{1}+25x_{2}\), subject to \(0\leq x_{1}\leq 3, 0\leq x_{2}\leq 3, x_{1}+x_{2}\leq 5\).

Options:

\(80\) at \((3,2)\)

\(75\) at \((0,3)\)

\(30\) at \((3,0)\)

\(95\) at \((2,3)\)

Correct Answer:

\(95\) at \((2,3)\)

Explanation:

$Z_{max}=Z(2,3)$

$=10×2+25×3$

$=95$