For the following linear programming problem minimize `Z=4x+6y` subject to the constraints `2x+3yge6,x+yle8,yge1,xge0`, the solution is

Solve the following linear programming problem graphically: Maximise Z=4x+y subject to the constraints: x+yle50 3x+yle90 xge0, yge0

Solve the following linear programming problem graphically, minimize Z=x-7y+190 subject to constraints x+yle8, xle5, x+yge4 and xge0, yge0 .

Solve the linear programming problem Maximise Z=x+2y Subject to the constraints: x-yle10, 2x + 3y le20 and xge0, yge0