Sally$$s Silk Screening produces specialty T$-$shirts that are primarily sold at special events. She is trying to decide how many to produce for an upcoming event. During the event, Sally can sell T$-$shirts for $$20$ each. However, when the event ends, any unsold T$-$shirts are sold for $$4$ apiece. It costs Sally $$8$ to make a specialty T$-$shirt. Sally$$s estimate of demand is the following:

How much t$-$shirts should she produce for the event?

DEMAND PROBABILITY

$3000\mathrm{.}05$

$4000\mathrm{.}10$

$5000\mathrm{.}40$

$6000\mathrm{.}30$

$7000\mathrm{.}10$

$8000\mathrm{.}05$