Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The maximum value of $Z=3x+4y$ subject to the constraints : $x+y ≤1, x≥0, y ≥0$ is :

Options:

4

3

2

5

Correct Answer:

4

Explanation:

The correct answer is Option (1) → 4

$Z=3x+4y$

$x+y ≤1, x≥0, y ≥0$

  at points     value of Z  
(0, 0) 0
(0, 1) 4
(1, 0) 3

Maximum Z = 4