Minimise the quantity `Z=x+2y` subject to the constraints: `x+y geq 1 ; x geq 0 ; y geq 0`

Minimise the quantity Z=x+2y subject to the constraints: x+y geq1, x geq 0, y geq0

Maximise the function Z=11x+7y , subject to the constraints x le 3, yle 2, x ge 0, y ge 0

Maximise Z=3x+4y, Subjected to the constraints x+y le1, x ge 0, y ge 0

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

Minimize 3x+2y subject to the constraints x+y ge 5 and x+2 y ge 6, x ge0, y ge 0

Maximize : Z = x + y ,subject to the constraints: x - y le -1, -x + y le 0, x ge 0, y ge 0

The minimum value of the objective function Z=x+2y Subject to the constraints, 2x+ y ge 3 , x +2y ge 6 , x, y ge 0 occurs

Maximum of P=5x+3y subject to the constraints: x ge 0, y ge 0, 5x+2y le 10 is

The maximum and minimum values of the objective function Z = x + 2y subject to the constraints x+2y ge 100, 2x -y le 0, 2x +y le 200 occurs respectively at