For Application of Thermodynamics students were challenged to create more efficient version of a Turbo-Jet engine using their knowledge of the Brayton Cycle. To do so two separate engine modifications were theorized and analyzed for their cost, size additions, and effect on either horsepower or thermal efficiency. Proposed modification 1 took the original engine configuration and maximized the horsepower of the system by add in two reheat combustors between the separate turbine shafts. Modification two maximized the thermal efficiency of the system by adding in inter-coolers between stages of the compressors and by replacing the high power compressor and turbine with even higher pressure systems.