Whitney owns and operates Aunt Emma's Pie Shop. She hired a consultant to analyze her business operations.

Ms. Whitney owns and operates Aunt Emma's Pie Shop. She hired a consultant to analyze her business operations. The consultant tells her that her profit P(x) is given by P(x)=120x-x2,where x is the number of units of pies she makes. How many units of pie should be made in order to maximize the profit? What is the maximum possible profit?