Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

The corner points of the feasible region determined by the system of linear constraints are (0, 4), (4, 0), (5, 0), (5, 3), (3, 5), (0, 5). Let $Z=x-7y+80.$ The minimum value of Z occurs at :

Options:

(5, 0)

(0, 5)

(3, 5)

(5, 3)

Correct Answer:

(0, 5)

Explanation:

The correct answer is Option (2) → (0, 5)

$Z(x,y)=x-7y+80$

Minimum occurs at $Z(0,5)$.

$Z(0,5)=0-7×5+80$

$=45$