Sofia's Silk Screening produces specialty T$-$shirts that are primarily sold at special events. Sofia is trying to decide how many to produce for an upcoming event. During the event, Sofia can sell T$-$shirts for $$48$ each. However, when the event ends, any unsold T$-$shirts are sold for $$10$ each. It costs Sofia's $$22$ to make a specialty T$-$shirt. The company's estimate of demand is the following:

DEMAND PROBABILITY

$5000\mathrm{.}29$

$6000\mathrm{.}14$

$7050\mathrm{.}05$

$7300\mathrm{.}05$

$7650\mathrm{.}10$

$8300\mathrm{.}37$

What is the service rate $($or optimal fractile$)?$

Note: Round your answer to $2$ decimal places.

How many T$-$shirts should Sofia's produce for the upcoming event?