Maximise `Z=-x+2y`, subject to the constraint,
`xge3, x+yge5, x+2yge6, yge0`

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

Maximise Z = 3x + 4y, subject to the constraints : x+y le 1, x ge 0 .

Solve the following Linear Programming Problems graphically : Maximise Z=3x+4y subject to the constraints : x+y le 4 , x ge 0 , y ge 0

Solve the following linear programming problems graphically : Minimise : Z = 3x + 2y subject to the constraints x+y le 8, 3x+5y ge 15, x ge 0, y ge 0

Minimise z = 13x - 15y subject to the constraints : x+y le 7, 2x-3y+6 ge 0, x ge 0, y ge 0

Maximize the function z = 11x + 7y , subject to the constraints : x le 3, y le 2, x ge 0, y ge 0

Minimise Z=3x+2y subject to the constraints, x+yge8 ………..1 3x+5yle15 …………2 xge0, yge0 ………..3

Solve the following linear programming problems graphically : Maximise Z = 50x + 15y subject to constraints 5x+y le 100, x+y le 60, x, y ge 0 .

Find the minimum value of Z = -3x + 4y, subject to the constraints x+2y le 8, 3x+2y le 12, x ge 0, y ge 0 .

Solve the following linear programming problems graphically : Maximize : Z = x + 170y subject to the constraints 3x+2y le 6, x+4y le 16, x, y ge 0 .