Problem: You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. You want to examine price and output strategy. A typical consumer's inverse demand for your bran muffins is now P = 3 - 0.5Q and your cost of producing bran muffins is C(Q) = Q. Determine the optimal number of bran muffins to sell in a single package and the optimal price of that package.