Minimise `Z=x+2y`
Subject to `2x+yge3,x+2yge6,x,yge0`.
Show that the minimum of `Z` occurs at more than two points.

Minimise Z=x+2y subject to 2x+yge3, x+2yge6, x,y ge0

Minimise z=3x+y , subject to 2x+3yle6,x+yge1, xge0,yge0

Maximize Z=-x+2y subject to xge3, x+yge5, x+2yge6, yge0

Solve the following linear programming problem graphically: minimize : z=x+2y Subject to: 2x+yge3 x+2yge6 xge0 yge0 Show that z is minimum at two points.

Minimise Z=3x+5y Such that x+3yge3, x+yge2, x,yge0 .

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

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

Minimise Z=3x+5y such that x+3yge3, x+yge2, x, yge0

Minimise Z=3x+5y such that x+3yge3, x+yge2, x, yge0