Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

The maximum value of Z for the linear Programming problem maximum $Z=2 x+y$ subject to the constraints $x+y \leq 2, x \geq 0, y \geq 0$ is:

Options:

4

2

0

6

Correct Answer:

4

Explanation:

The correct answer is Option (1) - 4

$Z=2 x+y$

$x+y \leq 2, x,y \geq 0$

corner points   value of Z
$A(0,0)$ $Z_A=0$
$B(0,2)$ $Z_B=2$
$C(2,0)$ $Z_C=4$ → max value