For the given figure all the constraints are :

The correct answer is Option (4) → $4x+3y≤360,3x≤180,5y ≤ 200,x≥0, y ≥ 0$

As each point lies in positive x-axis and positive y-axis, $x≥0, y ≥ 0$

Now, $y≤40$

$5y≤200$

and $x≤60$

$3x≤180$

and, $4x+6y≤360$