Solve following L.P.P by graphical method: `Z=5x_1+6x_2, x_1+x_2>=50, x_1+2x_2<=40, 3x_1+4x_2<=100 , x_1,x_2>=0`

Solve the following LPP graphically: Maximize Z=3x_1+2x_2 , x_1le2 , x_1+x_2le3 , x_1,x_2ge0

Solve the following LPP graphically: Maximize: Z=4x_1+3x_2 subject to x_1+x_2le50 , x_1+2x_2le80 , 2x_1+x_2ge20 , x_1,x_2ge0

Solve the following LPP graphically Optimize Z=5x_1+25x_2 subject to -0.5x_1+x_2 le 2, x_1+x_2 ge 2, -x_1+5x_2 ge 5, x_1, x_2 ge 0