If objective function $Z=px + qy $ is ma

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

If objective function $Z=px + qy $ is maximum at (2, -2) and maximum value is 8, such that $p=3q$ then the value of p and q are respectively :

Options:

6, 2

-3, -1

9, 3

3, 1

Correct Answer:

6, 2

Explanation:

The correct answer is Option (1) → 6, 2

$Z(2,-2)=2p-2q=8$

so $p=4+q$

as $3q=p$

so $3q=4+q$

$q = 2,p = 6$