Sofia's Silk Screening produces specialty T$-$shirts that are primarily sold at special events. Sover, when the event ends, any unsold Tproduce for an upcoming event. During the event, Sofia can sell T$-$shirts for $$34$ each. How evatimate of demand is the following: shirts are sold for $$8$ each. It costs Sofia's $$25$ to make a specialty T$-$shirt. The company's estimate of dend

$\backslash$table$[[$DEMAND$,$PROBABILITY$],[500,0\mathrm{.}31],[550,0\mathrm{.}10],[600,0\mathrm{.}06],[650,0\mathrm{.}06],[700,0\mathrm{.}08],[750,0\mathrm{.}39]]$

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

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

Service rate

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

Number of T$-$shirts