Question $4[$Constructing a decision tree with monetary values$]$:

Farbucks, a national coffee store, needs to make a decision in August regarding the quantity of holiday$-$edition insulated coffee mugs to order. They have three options: $12,000,15,000,$ or $18,000$ mugs. Since the mugs are dated, any unsold inventory after January $15$ is considered a loss. These premium mugs are priced at $$23\mathrm{.}95$ each and cost $$6\mathrm{.}75$ to produce. However, Farbucks is uncertain about the demand for the mugs. They estimate a $25\%$ chance of selling $10,000$ mugs, a $50\%$ chance of selling $15,000$ mugs, and a $25\%$ chance of selling $20,000$ mugs.