Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

Corners points of the feasible region for an LLP are : (0, 2), (3, 0), (6,0), (6, 8) and (0, 5). Let $z= 4x + 6y $ be the objective function. Then, Max z - Min z is equal to :

Options:

70

72

60

62

Correct Answer:

60

Explanation:

The correct answer is Option (3) → 60

$Z=4x+6y$

$Max.\,Z(6,8)=4×6+6×8$

$=24+48$

$=72$

$Min.\,Z(0,2)=4×0+6×2$

$=12$

$Max.\,Z(6,8)-Max.\,Z(6,8)=72-12=60$