Solve the following Linear Programming Problem graphically : Minimize `Z = x + 2y` subject to the constraints : `2x + y ge 3, x + 2y ge 6, x, y ge 0`.

Solve the following linear programming problem graphically : Minimize Z = 3x + 5y subject to constraints x + 3y le 3, x + y le 2, x ge 0, y ge 0 .

Solve the following Linear Programming Problem graphically: Maximise Z = 3x+4y subject to the constraints: x+yle4, xge0, y ge0

Solve the following linear programming problem graphically : Minimize Z = - 3x + 4y subject to constraints x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Solve the following linear programming problem Graphically : Maximize Z = 11 x + 5y , subject to the constraints : 3x + 2y le 25, x + y le 10, x, y ge 0 .