The American Baker's Association reports that annual sales of bakery goods last year rose 15%, driven by a 50% 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, with this new report, a typical consumer's inverse demand for your bran muffins is nowP= 4 -0.5Q.

If your cost of producing bran muffins is C(Q) = 1.5Q,determine the optimal number of bran muffins to sell in a single package and the optimal package price.

ROUND TO TWO DECIMAL PLACES

Optimal package size: ________ units

Optimal package price: $ ________