SouthpawSLF . . ."but I wonder if they bumped 'em a little or to the firewall."
Wonder no more. It is not necessary to "bump 'em up" [beyond MCT] or to "firewall" the remaining operative engines. Airplanes are certified to climb and cruise with one engine inoperative. And there is no limitation or time limit to fly with MCT [Max Continuous Thrust] settings if necessary. The only constraint would be a lower cruising altitude and higher fuel burn with one engine inoperative.