Question $3($based on Q$20$ from Ch $16)$

$15$ Points

ClickASnap is medium sized company that helps photographers get royalty payments for their

work online. The firm is considering moving their webhosting infrastructure off of Amazon Web

Services $($AWS$)$ and purchasing their own system of servers as a replacement.

Currently, the average interarrival time of requests to their AWS instance is $15$ milliseconds

$(0\mathrm{.}015$ seconds$)$ and on average there are $30$ requests in process $($i$.$e$.,$ being processed by a server

rather than waiting to be sent to a server for processing$).$ A server can only handle one request

at a time.

Since the arrival of requests can sometime spike quickly, the firm would want to operate their

owned servers with a utilization not to exceed $60$ percent.

What is the minimum number of servers would they need to purchase if they decide to move

away from AWS and keep their utilization at or below $60$ percent?