SHOW ALL WORK for in$-$state and out$-$of$-$state choices to answer the question.

$8)$ You have a choice between going to an in$-$state college where you would pay $$6000$ per year for tuition and an out$-$of$-$state college where the tuition is $$9000$ per year. The cost of living is higher at the in$-$state college, where you can expect to pay $$950$ per month in rent, compared to $$500$ per month at the other college. You will pay $$1900$ per year to travel back and forth from the out$-$of$-$state college. Assuming all other factors are equal, which is the less expensive choice on an annual basis? Find the cost of each college for one year.

A$)$ In$-$state $$17,700,$ out$-$of$-$state $$15,000$

B$)$ In$-$state $$17,400,$ out$-$of$-$state $$15,000$

C$)$ In$-$state $$17,400,$ out$-$of$-$state $$16,900$

D$)$ In$-$state $$17,700,$ out$-$of$-$state $$16,900$