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 :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 60
$Z=4x+6y$
$Max.\,Z(6,8)=4×6+6×8$
$=24+48$
$=72$
$Min.\,Z(0,2)=4×0+6×2$
$=12$
$Max.\,Z(6,8)-Max.\,Z(6,8)=72-12=60$