The point at which the maximum value of

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

The point at which the maximum value of x+ y, subject to constraints $x+2y ≤ 70, 2x+y ≤ 95, x ≥ 0, y ≥ 0$ is obtained, is :

Options:

(30, 25)

(20, 35)

(35, 20)

(40, 15)

Correct Answer:

(40, 15)

Explanation:

The correct answer is Option (4) → (40, 15)

Plotting constraints

$x≥0,y≥0$

⇒ first quadrant

$Z=x+y$

maximum value at (40, 15)