`2x + y ge 6, 3x + 4y le 12`

Solve the following graphically x + 4y le 8 , 3x - 4y le 12 , x ge 0 , y ge 0

x + 2y le 3, 3x + 4y ge 12, x ge 0, y ge 1

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0 , y ge 0 .

Minimize Z = -3x + 4y subject ot constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Minimise Z = -3x + 4y subject to x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Z = -3x + 4y x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0

Maximize Z = 3x + 4y subject to the constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 using graph.

Maximize and minimize Z = 3x + 2y - 3 subject to the constraints x + y ge 4, x + y le 12, x le 9, y le 9, x, y ge 0 .