An energy$/$temperature control option on a building automation$/$communications system is installed in a building with $200$ occupants who each cost $($salary $+$ fringe benefits$)$ on average $$60,000$ per year. The first cost of the option is $$25,000$ and it requires $$2,000$ per year in maintenance and saves $$5,000$ per year in utilities. What would the payback period be if the option improved temperature control and resulted in a $2\%$ increase in each employee$$s productivity in addition to the aforementioned utilities benefit$/$maintenance cost item