[" 30.Minumice and Maximuce "Z-5x+2y" ,stuject to the fullowiny curstraints."],[x-2y<=2;quad 3x+2y<=12;-3x+2y<=3;x>=0,y>=0]

Graphically minimize and maximize z = 5x + 10y subject to the constraints: x +2y le 120, x+y le 60, x-2y ge 0 x, y ge 0 .

Solve the following problem graphically,Maximise and minimise z=5x+10y, subject to the constraints x+2y =60,-2y>=0 and x,y>=0

Maximize and Minimize Z = 5x + 10y , subject to constraints are x + 2y le 120 , x + y ge 60, x - 2y ge 0 " and " x, y ge 0 .

Show that the minimum of Z occurs at more than two points : Minimise and Maximise Z=5x+10y subject to x+2y =60,x-2y>=0,x,y>=0

Minimise and maximise Z=5x+10 y subject to x+2y le 120 , x+y ge 60 , x-2y ge 0, x , y ge 0

Minimise and Maximise Z = 5x + 10y subject to x + 2y le 120, x + y ge 60, x - 2y ge 0, x, y ge 0 .

Maximize Z = 5x + 3y subject to the constraints : 2x + y le 8, x + 2y le 1 2, x ge 0, y ge 0 using graph.

Find graphically the minimum value of Z=5x+7y , subject to the constraints given below: 2x+y ge 8, x +2y ge 0 and x, y ge 0

Maximize Z = 5x + 3y subject to the constraints: 3x + 5y le 15, 5x + 2y le 10, x ge 0, y ge 0

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