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

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

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

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

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

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

Maximise and Minimise : Z = 4x + 3y -7 subject to the constraints: x + y le 10, x + y ge 3, x le 8, y le 9, x, 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

Maximise Z= -x + 2y , subject to the constraints: x ge 3, x + y ge 5, x + 2y ge 6, y ge 0 .