Maximise `Z = 5x+10y` subject to: `x + 2y le 120, x + y ge 60, x – 2y ge 0, x, y ge 0`

Maximise Z = x + 2y subject to: x + 2y ge 100, 2x – y le 0, 2x + yle 200, x, y ge 0

Minimise Z = x + 2y subject to: x + 2y ge 100, 2x – y le 0, 2x + yle 200, x, y ge 0

Maximise Z = –x + y subject to: x – y le –1, –x + y le 0, x, y ge 0

Minimise Z = –x + y subject to: x – y le –1, –x + y le 0, x, y ge 0

Maximise Z = – x + 2y subject to: x ge 3, x + y ge 5, x + 2y ge 6, y ge 0

Maximise Z= x+y , subject to x-y le -1, -x +y le 0, x, y ge 0

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 minimize and maximize z = 5x + 10y subject to the constraints: x +2y le 120, x+y le 60, x-2y ge 0 x, y ge 0 .