Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The maximum value of $Z=2x+3y$ subject to the constraints $x ≥0, y ≥ 0; x+y ≤10, 3x+4y ≤ 36 $ is :

Options:

20

27

30

0

Correct Answer:

27

Explanation:

The correct answer is Option (2) → 27

$x, y ≥ 0; x+y ≤10, 3x+4y ≤ 36$

corner points   $Z=2x+3y$
$A(0, 9)$ $Z_A=27$
$B(4,6)$ $Z_B=26$
$C(10,0)$ $Z_C=20$
$D(0,0)$ $Z_D=0$

$Z_A=27$ → maximum value