Graphically maximize `Z = 3x + 9y`, subject to the constraints `x + 3y le 60, x + y ge 1 0, x le y, x ge 0, y ge 0`

Graphically maximize Z = 6x + 9y subject to the constraints 2x - y ge 0, 2x + y ge 8, x + 11 y le 80, x ge 0, y ge 0 .

Solve the following linear programming problem graphically : Maximize : z = 3x + 2y subject to the constraints : x + 2y le 10, 3x + y le 15 ,x ge 0, y ge 0