Consider two integers, $x$ and $y$. The product of these integers is represented by the equation:
$$xy = 72$$
Additionally, the following condition holds: the sum of the integers $x$ and $y$ can be expressed as:
$$x + y = k$$
where $k$ is some integer value. Determine the relationship between Quantity A and Quantity B defined as follows:
Quantity A: The maximum value of $k$ that can be achieved for the integers $x$ and $y$ given that their product is 72.
Quantity B: The minimum value of $k$ that can be achieved for the integers $x$ and $y$ given that their product is 72.