Maximize `z=x+y` subject to constraints `x-y<=-1; -x+y<=0; xgeq0; ygeq0`

Maximize z =2x + 3y subject to constraints x + 4y le 8, 3x + 2y le 14 , x ge 0, y ge 0 .

Maximize z=6x+4y subject to constraints, xle2,x+yle3,-2x+yle1,xyge0 Also find the maximum value of 'z'.

Maximize Z = x + y, subject to constraints are x - y le - 1, - x + y le 0 " and " x, y ge 0 .

a) Solve the following linear programming problem graphically : Minimize and maximize Z = x + 2y, subject to constraints x+2y ge 100, 2x-y le 0,2x+y

Minimize and Maximize Z=x +2y subject to the constraints x+2y ge 100, 2x-y le 0, 2x+y le 200, x, y ge 0

Maximize z = 5x + 10y subject to constraints x + 2y le 10 , 3x + y le 12 , x ge 0 , y ge 0