Assuming that you are the administrator of an interactive computer system. The computer

system consists of a $2-$core $CP{U}^1$ and a disk. During an observation time of $1800$ seconds,

you obtained the following measurements from the system:

This computer system is used by $19$ interactive users and the thinking time per interactive

user is $45$ seconds.

Answer the following questions.

$($a$)$ Determine the average service demand of Core $1.$

$($b$)$ Determine the throughput upper bound on this interactive computer system.

$($c$)$ From reading the measurements above, you realise that the utilisations of the $2$ cores are

very different. You want to make an attempt to balance the utilisations of the $2$ cores.

In the ideal scenario, what is the lowest throughput upper bound $($on the interactive

system$)$ that you can get from balancing the utilisation of the $2$ cores?

You can assume that both cores have the same processing rate. For simplicity, you may

assume that each request in this system is processed only by one core, i$.$e$.,$ no parallel

processing. A request can be processed by any of the two cores. You can attempt to

balance the utilisation of two cores by deciding on how the requests should be allocated

to the cores.

$($d$)$ Part $($c$)$ considers the ideal scenario. Discuss one practical difficulty that can prevent

you from perfectly balancing the utilisations of the $2$ cores.