A power system has two synchronous generators whose governor turbine characteristics are given by P1 = 50(50 - f) MW and P2 = 100(52 - f) MW, where f is the system frequency. When the total load supplied is 1000 MW, what is the system frequency if the operation is lossless.

1
58 Hz
2
44.66 Hz
3
52.4 Hz
4
48 Hz

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