Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Consider the LPP, Min $Z=2x-3y$ subject to the conditions

$x+y ≤3,$

$x ≤ 3, $

$x ≥ 0, y ≥ 0,$

then the maximum value of the objective functions is at the point.

Options:

(0, 0)

(0, 3)

(3, 0)

(1, 2)

Correct Answer:

(3, 0)

Explanation:

The correct answer is Option (3) → (3, 0)

$Z=2x-3y$

Corner points    $Z=2x-3y$
A(0, 0) $Z_A=0$
B(0, 3) $Z_B=-9$
C(3, 0) $Z_C=6$

Maximum value at C(3, 0)