Supercritical fluid extraction (SFE) with CO2 as solvent has demonstrated to be friendlier with the environment than traditional extraction processes and technically feasible. However, the required CO2 thermodynamic cycles at high pressures (in critical point surroundings) demand high energy consumption. Therefore, in this research a rigorous economic and thermic optimization for coconut oil SFE was proposed. A novel combination of CO2 empirical state equations, equilibrium and mass transfer models (expressed as ordinary differential equations) of coconut oil SFE were synthesized with raw material and manufacture costs in an optimization problem. The unitary cost of the extracted coconut oil was defined as target function for minimization, with productivity and yield as constrains. The optimal results provide the low cycle temperature, CO2 flow, the extraction vessel volume and the extraction time, that minimize the target variable and satisfy constrains.