There are two one$-$barber shops in the Memorial Union. Each shop can hold a maximum of

$3$ people, and any potential customer who finds a shop full will not wait for a haircut.

Barber $1$ charges $$30$ per haircut and takes an average of $20$ minutes to complete a haircut.

Barber $2$ charges $$18$ per haircut and takes $12$ minutes to complete a haircut.

Barber $1$ receives an average of $4$ potential customers per hour and Barber $2$ receives an

average of $9$ potential customers per hour. Of course, a potential customer will only

become an actual customer if he or she finds that the shop is not full. Assuming that the

times between arrivals and haircuts are exponential, which barber will make more money

per hour, and how much $($to four decimal places$)?$

What is the barber $1\text{'}$s revenue per hour? A$.71\mathrm{.}486$ B$.76\mathrm{.}116$ C$80\mathrm{.}532$ D$.82\mathrm{.}419$

What is the barber $2\text{'}$s revenue per hour? A$.71\mathrm{.}486$ B$.76\mathrm{.}1143$ C$\mathrm{.}80\mathrm{.}5321$ D$.82\mathrm{.}4418$