If the corner points of the feasible region for an LPP are (6,0), (5, 5), (3, 6) and (0, 4) then minimum value of the objective function $z=2x+3y $ occurs at :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → every point of the line segment joining the points (6, 0) and (4, 0)
$Z_{min}=Z(0,4)=Z(6,0)$
$=12$
∴ $Z_{min}$ is on every line joining (0, 4) and (6, 0).