Please answer the question. I will give the good feedback. Thank you. $(20$ pts$)$ Consider a decision$-$making about the placement of mirror sites in a content distribution

network $($e$.$g$.,$ NetFlix video cache sites$).$ See Figure $2$ for illustration. The decision$-$making is a fuzzy

process, due to the following unclear trade$-$offs:

i$)$ Faster content access by clients vis$-$a$-$vis higher overhead of updating mirror sites;

ii$)$ Higher monetary cost involved in deploying a large number of mirror sites;

iii$)$ Security risks from adversaries due to wider exposure of content with higher replication;

iv$)$ Increased software complexity of running push$/$pull algorithm on many mirror sites.

Discuss the above trade$-$offs $($i$)-($iv$)$ in a semi$-$quantitative manner. You can use, for instance, different

client$-$level content demand rates, content$-$update rates $($e$.$g$.,$ frequency of news postings$),$ economic

aspects of leasing machines from data$-$centers, network bandwidth allocation costs, and customer dis$-$

satisfaction due to content download delays.

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Figure $2$: Illustration of a content$-$delivery network infrastructure $($e$.$g$.,$ NetFlix, YouTube$)$