TB MC Qu$.05-71$ A Virginia county is considering whether to$...$

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. What would be the county's annual profit if they were to process $4,000$ prisoners per year at this new location?