Represent geometrically the following LPP, Minimize Z-3x +2y Subject to the constraints x+y 10, x+4y 12, x>0,y>0. and Find out the extreme points of the convex set of feasible solutions and hence find out the minimum value of the objective function.

Represent geometrically the following L.PP, Minimize Z-3x+2y Subject to the constraints x+y10,x+4y12,x>0,y>0. and Find out the extreme points of the convex set of feasible solutions and hence find out the minimum value of the objective function.

Represent geometrically the following LPP Minimize Z= 3x+2y Subject to the constraits 5x+y ge 10 x+yge6 x+4yge12 and x ge 0 ,y ge 0 find out the exterme points of the convex set of feasible solution and hence find out the minimum value of the objective function

Optimal solution of the LPP, Maximize Z=3x+4y subject to the constraints x+y =0,y>=0 is

Minimize Z = 3x + 2y subject to the constraints : x + y ge 8, 3x + 5y le 15, x ge 0, y ge 0 .

For the LPP, maximize z = x + 4y subject to the constraints x + 2y le 2, x +2y ge 8, x, y ge 0 .

Consider the following LPP: Maximize Z = 3x + 2y subject to the constraints: x + 2y le 10, 3x + y le 15, x, y ge 0 . (a) Draw the feasible region. (b)Find the corner points of the feasible region. (c) Find the maximum value of Z.

Consider the LPP Maximise z=3x+2y Subject to the constraints x+2yle10 ,3x+y le 15 , x,y ge 0 Find the corner points of the feasible region.

Minimize Z = -3x + 4y subject ot constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 .

Minimize Z = x + 4y subject to constraints x + 3y ge 3 , 2x + y ge 2, x ge 0 , y ge 0

Solve the following LPP graphically Minimise Z=200x+500y subject to Constraints x+2y>=10,3x+4y =0 , y>=0