Calculate the link utilization and bandwidth$-$delay product for a specified networ configuration using the RDT $3\mathrm{.}0$ protocol, and analyze the efficiency of the protocol under given conditions.

Link Bandwidth: $500Mbps$

Propagation Delay: $20ms$

Packet Size: $10000$ bits

a$.$ Calculate the link utilization for the given network setup, considering the Stopand$-$Wait protocol characteristics of RDT $3\mathrm{.}0.$

b$.$ Determine the bandwidth$-$delay product for this connection.

c$.$ Provide an analysis of the efficiency of the RDT $3\mathrm{.}0$ protocol in this scenario, takin into account the propagation delay and bandwidth characteristics.