Find value of load resistance for loaded overdrive factor

Establish an expression for the loaded overdrive factor that σL, of the transistor in the inverter circuit demonstrated below in terms of the circuit parameters. Determine the minimum allowable value of the load resistance RL when the inverter should provide a drive ability of N=8 along with a loaded overdrive factor as σL = 2, when VCC = 5V, RB = 10k?, RC = 1kΩ and βF = 40.

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