`3x + 4y le 12`

Z = -3x + 4y 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.

Minimise Z = -3x + 4y subject to 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 .

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

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

State True or False: The maximum value of Z = 5x + 3y subject to constraints 3x + y le 12, 2x + 3y le 18, 0 le x ,y is 20.

Solve the following linear programming problem graphically : Minimize Z = - 3x + 4y subject to constraints x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .