An Ontario county is considering whether to pay $$50,000$ per year to lease a prisoner transfer facility in a prime location near Winnipeg., They estimate it will cost $$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?

Multiple Choice

$5,000$

$8,000$

$6,000$

$2,000$

$4,000$