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 the holding area at this new location has design and effective capacities of 10,000 and 7,500 prisoners processed annually, respectively, and 5,000 prisoners will be processed per year, what will be the utilization of the holding area
