A three-phase induction motor running from 460-V supply lines is drawing 60-A rated current at 0.90 power factor lagging. The power losses estimated from the manufacturer’s data sheet at this load are 3000 W in the conductor, 1024 W in the magnetic core, and 1000 W in friction and aerodynamic windage. Determine

(1) The output power and efficiency at rated load and 

(2) The maximum efficiency and the corresponding percentage of load.