In this paper, the combined carbon dioxide power and ejector compression refrigeration cogeneration cycle with the ability to change the production capacity of power and cooling ​​by changing the performance parameters of the cogeneration cycle has been analyzed. Thermodynamic simulation of the studied cogeneration cycle has performed in EES software and the energy and exergy balance equations for each component of the cycle are applied. Then, a parametric study has been carried out and the variations of the performance parameters of the cogeneration cycle, including the turbine inlet temperature and pressure, the outlet pressure of the power cycle, the evaporator temperature, etc. are investigated on the overall thermodynamic performance of the cogeneration cycle. The results indicate that the exergy efficiency of the studied cogeneration cycle reaches to the optimum value of 28.8% at the turbine inlet pressure of 21100 kPa, while the maximum value of the total produced power and cooling of the studied cycle occurs at the turbine inlet pressure of 18600 kPa. Also the contribution of different components of the studied cogeneration cycle in the total exergy destruction rate is calculated and it is revealed that the turbine and the heater have the highest exergy destruction rate values, respectively, among the components of the cogeneration system