The production of electrical energy is one of the most important areas of interest to researchers in order to provide electricity to consumers, taking into consideration the cost of production, especially the raw materials used in combustion (fuel, coal, gas,... etc.). But with interest in the economic aspect of reducing the cost of production, another problem has emerged: gas emissions from the combustion of the primary materials in energy production centers. This has led to the emergence of greenhouse gases, and this has caused climate change and its effect on the atmosphere. The aim of reducing greenhouse gas emissions (environmental orientation) has been to counteract the production cost (economic orientation), which has led to the reflection of environmental and economic orientation. The researchers tried to find a multi-objective solution. In this thesis, our study aims at applying mathematical methods for modeling economic and environmental power production centers and then applying ways to improve economic and environmental solutions.