This document summarizes a student's final report on optimizing the design of prestressed concrete beams. The student formulated the problem using nonlinear programming to minimize the cost of the beam based on design variables like section dimensions and amount of prestressing steel. Constraints included practical bounds on dimensions and strength requirements. Standard and idealized beam sections were analyzed. Results found that a double tee section minimized cost and increasing concrete strength reduced cost for T-beams with 7 ksi concrete being optimal. Standard sections analysis confirmed idealized section results. The student concluded the idealized section optimization provided effective guidance to find the lowest cost standard beam section design.