Consider points of the feasible region for a linear programming are (0, 2), (3, 0), (4, 1), (2, 3) and (0, 3).

Let $F= 4x+6y $ be the objective function.

The minimum value of F occurs at :

every point on the line segment joining the points (0, 2) and (3,0)

The correct answer is Option (4) → every point on the line segment joining the points (0, 2) and (3,0)

$F=4x+6y$

$F_{min}$ at all points joining (0, 2) and (3, 0)