Radio synchrotron power P_radio versus jet mechanical power estimated from the X-ray cavity system: (adopted from Laura Bîrzan’s PhD thesis Rafferty 2007). Filled black symbols show radio-filled cavities (which include intermediate cases). Symbols and wide error bars denote the values of the mechanical power calculated using the sound speed. Open squares and filled squares show our results of cases 1T and 2T for models A (red), B (blue), and C (green), respectively. The diagonal dotted lines (dashed lines) represent ratios of constant mechanical power to radio luminosity. Blue dashed lines depict the total injection energy of our jet model, given by Eq. (20).