A Las Vegas bakery must decide how many wedding cakes to prepare for

the upcoming weekend. Cakes cost $$33$ each to make and sell for $$60$

each. Unsold cakes are reduced to half$-$price on Monday, and typically

one$-$third of those are sold. Any that remain are donated to a nearby

senior centre. Analysis of recent demand resulted in the following

probability distribution: LO$6$

Demand $0123$

Probability $0\mathrm{.}150\mathrm{.}350\mathrm{.}300\mathrm{.}20$

How many cakes should be prepared?