`" Minimise "Z=4x+8y" subject to "200x+100y>=4000,x+2y>=50,40x+40y>=1400,x>=0,y>=0" minimum value of "z" is "`

" Minimise and Maximise "z=-x+2y" subject to "x>=3,x+y>=5,x+2y>=6

Minimize Z= 3x + 2y subject to x + y le 8, x, y ge 0 .

Maximize Z = 4x + y subject to : x + y le 50, x, y ge 0 .

Maximize Z = 4x + y subject to : x + y le 50, x, y ge 0 .

Maximize Z = 4x + y subject to : x + y le 30, x, y ge 0 .

Minimise Z=-3x+4y Subject to x+2yle8, 3x+2yle12,xge0,yge0 .

Consider the linear programming problem Maximise Z = 4x + y. Subject to constraints x+y le 50, x +y ge 100 and x ,y ge 0 Then, maximum vlaue of Z is

Maximize Z = x + 2y subject to x + y ge 5, x ge 0, y ge 0 .

Maximize Z = x + 2y subject to : x + y ge 5, x ge 0, y ge 0 .

If Z=2x + y subject to x le 4, y le 6, x+y ge 6, x ge 0, y ge 0 , then the maximum value of Z is