The maximum throughput of an Aloha network can be calculated using the formula:

Throughput = Channel Capacity * Efficiency

1. Calculate Channel Capacity:
The channel capacity is given as 18.2 kbps (kilobits per second).

2. Calculate Efficiency:
Efficiency is the ratio of the time when the channel is successfully utilized to the total time. In an Aloha network, the efficiency can be calculated using the formula:

Efficiency = (G * e^(-2G)) / (1 + 2G * e^(-2G))

where G is the offered load, which is the product of the channel utilization and the packet duration.

3. Calculate Packet Duration:
The packet size is given as 100 bits. The transmission rate is 18.2 kbps. Therefore, the time taken to transmit one packet can be calculated as:

Packet Duration = Packet Size / Transmission Rate
= 100 bits / 18.2 kbps
= 0.00549 seconds

4. Calculate Channel Utilization:
The channel utilization is the ratio of the packet duration to the total time. In an Aloha network, the total time consists of the packet duration and the time taken for all other packets to be transmitted.

Channel Utilization = Packet Duration / (Packet Duration + 2 * Average Time Between Packet Arrivals)

5. Calculate Average Time Between Packet Arrivals:
The average time between packet arrivals can be calculated as the reciprocal of the packet arrival rate. The packet arrival rate can be calculated as the product of the transmission rate and the packet size.

Packet Arrival Rate = Transmission Rate * Packet Size
= 18.2 kbps * 100 bits
= 1820 bits per second

Average Time Between Packet Arrivals = 1 / Packet Arrival Rate
= 1 / 1820 bits per second
= 0.000549 seconds

6. Calculate Channel Utilization:
Channel Utilization = 0.00549 seconds / (0.00549 seconds + 2 * 0.000549 seconds)
= 0.00549 seconds / 0.00658 seconds
= 0.834

7. Calculate Efficiency:
Using the formula mentioned earlier:

Efficiency = (0.834 * e^(-2 * 0.834)) / (1 + 2 * 0.834 * e^(-2 * 0.834))
= 0.6027

8. Calculate Maximum Throughput:
Throughput = Channel Capacity * Efficiency
= 18.2 kbps * 0.6027
= 10.99 kbps

Thus, the maximum throughput of the Aloha network is approximately 10.99 kbps, which is option 'C'.