Final answer:
The maximum number of recessed lumineers that can be installed on a 20 amp 277 V branch circuit for continuous operation is 150.
Step-by-step explanation:
To determine the maximum number of recessed lumineers that can be installed on a 20 amp 277 V branch circuit, we need to calculate the maximum power that can be drawn from the circuit.
The circuit can supply a maximum power of 20 amps multiplied by 277 volts, which is 5540 watts. Since each luminary draws 36.8 watts, we divide the maximum power by the power draw of each luminary to find the maximum number of luminaries.
5540 watts ÷ 36.8 watts = 150.65.
Therefore, the maximum number of recessed lumineers that can be installed on the circuit is 150, considering the continuous operation.