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Our work is to study the Minimum Latency Broadcast Scheduling problem in the geometric SINR model with power control. With power control, sensor nodes have the ability to adjust transmitting power. While existing works studied the problem assuming a uniform power assignment or allowing unlimited power levels, we investigate the problem with a more realistic power assignment model where the maximum power level is bounded. To the best of our knowledge, no existing work formally proved the NP-hardness, though many researchers have been assuming that this fact holds true. In this paper, we provide a solid proof for this result.