Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Maximize \(z=3z+5y\), subject to constraints: \(x+4y\leq 24,3x+y\leq 21,x+y\leq 9,x\geq0,y\geq 0\)

Options:

\(20\) at \((1,0)\)

\(30\) at \((0,6)\)

\(37\) at \((4,5)\)

\(33\) at \((6,3)\)

Correct Answer:

\(37\) at \((4,5)\)

Explanation:

The correct answer is Option (3) → \(37\) at \((4,5)\)

$Z=3x+5y$

$⇒Max.\, Z=Z(4,5)=3×4+5×5=27$