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 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 = 9 - 0.5q. if your cost of producing bran muffins is c(q) = 4.5q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.