Maximize `z = 5x + 7y` such that `2x + y ge 8, x + 2y ge 10 x, y ge 0`.

Solve the following Linear Programming Problem graphically: Minimise Z = 3x + 5y such that: x + 3y ge 3, x + y ge 2, x, y ge 0

Minimize z = 2x + 3y , such that 1 le x + 2y le 10, x ge 0, y ge 0 .

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

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 ge 3, x + y ge 5, x + 2y ge 6, y ge 0