Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

What is the maximum value of \(P=6x+8y\), when the conditions are: \(2x+y\leq 30; x+2y\leq 24; x\geq 0; y\geq 0\)

Options:

\(60\)

\(120\)

\(240\)

\(305\)

Correct Answer:

\(120\)

Explanation:

$Z(max)=Z(12,6)$

$=6×12+8×6$

$=72+46$

$=120$