A Virginia county is considering whether to pay $50,000 per year to lease a prisoner transfer facility in a prime location near Washington, D.

A Virginia county is considering whether to pay $50,000 per year to lease a prisoner transfer facility in a prime location near Washington, D.C. They estimate it will cost $50 per prisoner to process the paperwork at this new location. The county is paid a $75 commission for each new prisoner they process. How many prisoners would they have to process annually to break even at this new location?