Sally's Silk Screening produces specialty T$-$shirts that are primarily sold at special events. She is trying to decide how many to produce for an upcoming event. During the event, Sally can sell T$-$shirts for $$14$ apiece. However, when the event ends, any unsold T$-$shirts are sold for $$5$ apiece. It costs Sally $$10$ to make a specialty T$-$shirt. Sally's estimate of demand is the following:

$\backslash$table$[[$DEMAND$,$PROBABILITY$],[550,0\mathrm{.}25],[625,0\mathrm{.}21],[690,0\mathrm{.}02],[715,0\mathrm{.}11],[750,0\mathrm{.}18],[815,0\mathrm{.}23]]$