Solve the following LPP graphically : Maximize : `Z = 10x + 12y` Subject to the constraints `2x + 3y le 30,3x +y le 17,x, y ge 0`.

Solve the following LPP graphically : Maximize : Z = 6x + 5y Subject to the constraints 3x +5y le 15, 5x +2y le 10, x, yge0 . [LPP - Linear programming problem]

Solve the following LLp graphically : Maximise Z = 4x + y subject to constraints : x + y le 50, 3x + y le 90, x ge 10, y ge 0.

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