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

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 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 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

To maximise the objective function z=x+2y under the constraints x-y le 2, x+yle4 and x,yge0 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

The minimum value of the objective function z=-50x+20y subject to constraits 2x-yge-5, 32x+yge3 2x-3y le 12 and x ge0,yge0

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