A computer on a 10Mbps network is regulated by a token bucket. The token bucket is filled at a rate of 2Mbps. It is initially filled to capacity with 16Megabits. What is the maximum duration for which the computer can transmit at the full 10Mbps?

To determine the maximum duration for which the computer can transmit at the full 10Mbps given the conditions of the token bucket, we need to calculate how long the initial tokens (16 Megabits) plus the tokens being added at a rate of 2Mbps can sustain a 10Mbps transmission.

Here’s a step-by-step calculation:

1. Token Consumption Rate: The network aims to transmit at 10Mbps, but tokens are being added at a rate of 2Mbps. Thus, the net token consumption rate when transmitting at full speed is (10Mbps – 2Mbps = 8Mbps).

2. Initial Token Bucket Capacity: The token bucket starts fully filled with 16 Megabits.

3. Duration Calculation: To find out how long the computer can sustain a 10Mbps transmission, we calculate the duration for which the initial tokens plus the tokens added can sustain this consumption rate. Since the consumption rate is 8Mbps, and you have an initial capacity of 16 Megabits, you divide the capacity by the consumption rate.

[ text{Duration} = frac{text{Initial Capacity}}{text{Consumption Rate}} = frac{16 text{ Megabits}}{8 text{ Mbps}} ]

[ text{Duration} = 2 text{ seconds} ]

Therefore, the computer can transmit at the full 10Mbps for a maximum duration of 2 seconds before the tokens in the