The optimization of Economic Load Dispatch (ELD) is one of the most important tasks in Power Plants (PP). The paper objective is to analyze a new application of the computational optimization technique by Genetic Algorithms including Turning Off the motors with greatest losses. The incremental cost of fuel is used to determine the best parameters of active power of each ith generator unit, ensuring that the demand and total losses are equal to the total generated power but minimizing the total cost of fuel. Materials and methods have been developed to solve the economic load dispatch, among them: lambda iteration, gradient method, Newton and so others. The results found for this case study, with the new application of Optimization by Genetic Algorithms were outstanding having a reduction of 19,88% in the total fuel cost, comparing to classical methods that distribute the generation of energy among all motors, including the least efficient ones. This method helps the expert in the decision making of preventive maintenance of machines that are not being used in the moment of multi-objective optimization, improving not only the efficiency of motors but also of the power plant generation planning.