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. If their holding area at this new location has design and effective capacities of 10,000 and 7,500 prisoners processed annually, respectively, and they plan to be 80 percent efficient in their use of this space, how many prisoners does the county plan to process per year?
