Spartan Redi$-$Care is a small urgent care facility located near the university. Because of the high competition for student business, the manager of Spartan has decided that the most effective way of competing is to emphasize short wait times. Spartan Redi$-$Care has even gone so far as to adopt the slogan, $$Get in$,$ Get better, Get out.$$ As the facility manager, you have decided that this slogan translates into an average customer wait time of $45$ minutes. You have collected the following data taken from a three$-$week period of typical demand:

ca $=3\mathrm{.}00$

cp $=2\mathrm{.}00$

u $=60$ percent

tp $=6\mathrm{.}8$ minutes

What is the expected average wait time for Spartan Redi$-$Care?