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The capacity of a certain additive white Gaussian noise channel of bandwidth $1 \mathrm{~MHz}$ is $\mathrm{known}$ to be $8 \text{ Mbps}$ when the average transmit power constraint is $50 \mathrm{~mW}$. Which of the following statements can we make about the capacity $C$ (in Mbps) of the same channel when the average transmit power is allowed to be $100 \mathrm{~mW}$?

  1. $C=8$
  2. $8 < C < 16$
  3. $C=16$
  4. $C>16$
  5. There is not enough information to determine $C$
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