a) Please design a packet forwarding policy at Switch 1 and 2 so that the three connections S1->R1, S2->R2, and S3->R3 get 15%, 30% and 55% of the shared link bandwidth.

b) Please describe what is the key benefit of using statistical multiplexing compared to STDM (Synchronous Time Division Multiplexing).
a) At Switch 1: Implement a packet forwarding policy that allocates 15% of the link bandwidth to packets from S1 destined for R1, 30% to packets from S2 destined for R2, and 55% to packets from S3 destined for R3.
b) At Switch 2: Implement a packet forwarding policy that prioritizes the packets based on the percentages determined at Switch 1, ensuring that the same allocation is maintained throughout the network.
c) Benefit 1: Statistical multiplexing allows for more efficient use of bandwidth by dynamically allocating resources based on the actual demands of the connections, leading to higher overall network throughput.
d) Benefit 2: Unlike STDM, where each connection is allocated a fixed portion of the bandwidth regardless of its actual traffic, statistical multiplexing can adapt to changes in the traffic patterns, ensuring more fair and efficient utilization of resources.