The American Baker's Association reports that annual sales of bakery goods last year rose $15$ percent, driven by a $50$ percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer's inverse demand for your bran muffins is now $P=5-0\mathrm{.}5Q.$

If your cost of producing bran muffins is $C(Q)=1\mathrm{.}5Q,$ determine the optimal number of bran muffins to sell in a single package and the optimal package price.

Instructions: Enter your response for the optimal package price rounded to two decimal places.

Optimal package size: units

Optimal package price: $