In this problem we will apply what we learned about web caching to resolve prohibitive delays on an

institution's access link. Consider the diagram below; where an institutional network connects end user

devices through a $1$ Gbps local area network $($LAN$).$ Furthermore, assume that the institution's access link is

provisioned at $50$ Mbps $.$ Assume that users on the network interact with a web service such that each object

downloaded from the respective origin servers is $1$ Mbit large and the average request rate $($i$.$e$.$ packet arrival

rate$)$ is $100$ objects second. Answer the questions below and show your work.

Figure $1.$ A diagram of an institutional network with $R_{\text{L}\text{A}\text{N}}=1Gbps,R_{\text{A}\text{C}\text{C}\text{E}\text{S}\text{S}}=50Mbps,L=1$Mbit and

$a=100$ objects second.

B$.$ What would be the total delay in delivering objects from the origin servers?