You are conducting a feasibility study for the potential construction of a youth sports facility that will house $12$ baseball$/$softball fields. A private ownership group will fund $100\%$ of the $$2$ million facility construction costs. They are likely to receive a bank loan at $7\%$ interest.

While doing your research, you find that the fields would likely hold $32$ tournaments each year. The fixed cost for operating the facility on an annual basis is projected to be $$200,000$ and variable costs are $$3,000$ per tournament. How much money do you recommend the facility operator charge to tournament operators to host a weekend tournament in order for the facility to break even given these assumptions?