First we need to address an important point: What if both 5j and 5t are positive? TIle answer is that this cannot happen because it impliesthat the solution callsfor both hiring and firing
in the same month. Interestingly, the theory oflinear programming (see Chapter 7) tells us that
5i and 5t can never be positive simultaneously, a result that confirms intuition.
We can now write the cost of hiring and firing as follows: