In a thermoeconomic analysis, the productive structure determines the cost distribution. A chemically recuperated gas turbine cycle, optimized in order to reduce the production of irreversibilities, is analyzed using to thermoeconomic techniques. The exergy flows are disaggregated into chemical and physical exergies. The internal cost distribution is compared in three types of analyses: the Basic approach, the Functional Analysis approach and the Functional Analysis with Cost Negentropy Redistribution approach. The negentropy cost redistribution reduces the cogeneration cost, changing the exergetic costs through the cycle by about 1%.