$(20$ points: $10$ points for circuit switching and $10$ for packet switching$)$ Compute the

completion time for both circuit switching and packet switching under the following

conditions:

The destination is $4$ hops away from the source with $4$ links $($i$.$e$.,3$ intermediate routers

between the source and the destination$).$

The distance between any two adjacent nodes is $10$ Km$.$

The signal propagation speed is $5$x$105$ m per second.

The message size is $4$ Mega bits $(1$ Mega $=106)$

The maximum packet size is $100$k bits $(1$k $=103.$ You can ignore the size of the header.$).$

The transmission speed of each link is $100$ Mega bps $($bits per second$).$

The processing time for routing decision and queuing delay at each router$/$switch is $2$

mili$-$seconds.

The packet size for a circuit setup packet for circuit switching is $1000$ bits $($once again

you can ignore the header size$).$ However, the routing decision time and queuing delay at

each router$/$switch for both circuit setup and packet switching are still $2$ mili$-$seconds.

Please compute the circuit set up time accordingly and the total time for both circuit

switching and packet switching.