Minimize Z=(3x+y)
Subject ot the constraints :
`2x+3y lt6`
`x+ygt1,`
and `x gt 0, y gt 0`

Solve graphically the LPP given below: Minimize Z= 3x+2y Subject to the constraints : 2x+y gt14 2x+3ygt22 x+ygt5 and x,ygt0

Solve the follwing LPP by the graphical method Min Z= 32x+y Subject to the constraints 2x+y ge 14 x-y ge 4 and x ge 0, y ge 0

Show by graphical method that the feasible region of the following LPP is unbounded but it has unique optimal solution x=3 ,y =18 Minimize Z=4x+2y subject to the constraints 3x+y ge 27 -x-y le -21 x+2y ge30 and xge 0,y ge 0

Solve graphically : Maximize Z=-4x+6y Subject to the constraints -x+ylt3 -x+3ylt15 and x,y gt0

Make a graphical representation of the set of constraints in the following LPP Maximimize Z= x+y Subject to the constraints 5x+10y le50 x+y ge1 and x ge 0, y ge 0 show that the LPP has unique optimal solution

Solve graphically (if possible ) the following LPP: Maximize Z= 2x+3y Subject to the constaints : x+ygt1 2x+ylt0 and x,ygt0

Maximise Z=3x+4y Subject to the constraints x+yle4, xge0, yge0

Make a graphical representation of the set of constraints in the following LPP Maximize Z=3x+2y subject of the constraints xgt 4 , y gt 6 3x+2ylt18 and x,y gt0

Solve the following linear programming problem graphically : min Z= 5x+7y Subject to the constraints 3x+2y ge12 2x+3y ge 13 and x ge 0, y ge 0

Solve the following linear programming problem graphically Maximize Z= 60 x+15y Subject to the constraints x+y le 50 3x+y le90 x,yge 0