The minimum value of linear objective function z =2x + 2y under linear constraints ` 3x + 2y ge 12 , x + 3y ge 11 and x,y ge 0` is

The minimum value of linear objective function z=2x+2y under linear constraints 3x+2yge12,x+3yge11 and x,y ge0 is

The maximum value of the objective function Z=3x+2y for linear constraints x+y le 7, 2x+3y le 16, x ge0, y ge0 is

The minimum value of the objective function Z=2x+10y for linear constraints x ge 0 , y ge 0, x -y ge 0, x -5y le -5 is

The minimum value of the objective function Z=2x+10y for linear constraints x ge 0 , y ge 0, x -y ge 0, x -5y le -5 is

The minimum value of the objective function Z=x+2y Subject to the constraints, 2x+ y ge 3 , x +2y ge 6 , x, y ge 0 occurs

Determine graphically the minimum value of the objective function z = - 50x + 20 y, subject to he constraints. 2x - y ge - 5 3x + y ge 3 2x - 3y le 12 x ge 0, y ge 0

The minimum value of the linear objective function x = 5x + 2y subjected to 10x + 2y ge 20, 5x + 5y ge 30, x ge 0 , y ge 0 is

Determine graphically the minimum value of the objective function: Z = -50x + 20y subject to the constraints: 2x - y ge -5, 3x + y ge 3, 2x - 3y le 12, x, y ge 0 .

The maximum value of linear objective function z = 40x + 50y subjected to 3x + y le 9, x + 2y lt 8, x ge 0, y ge 0 is