Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The maximum value of $Z=3x+y $ subject to constraints

$x+y ≤ 7$

$x≤ 5 $

$y ≤4$

$x≥0, y ≥ 0 $ is :

Options:

17

15

19

13

Correct Answer:

17

Explanation:

The correct answer is Option (1) → 17

Z should be maximum only at corner points of feasible region.

$Z_{max}(5,2)=3×5+20=17$