Compute the time required for circuit switching and packet switching with the following conditions:

The destination is 4hops away from the source: three intermediate switches between the source and the destination, with 4links.

The distance between source (anddestination) computerto its connected switch is 1Km.The distance between any two adjacent switches is 10Km.

The signal propagation speed is 5x10^5m per second

.The message size is 5 Mega bits (1 Mega = 10^6) The maximum packet size is 200k bits (1k = 10^3. You can ignore the size of the header.).

The transmission speed of source (or end) computer to its connected switch is 100 Mbps(Mega bits per second).The link speed between adjacent switches is 10Giga bits per second The circuit setup time is 2x10^-1second for the case ofcircuit switching.

The processing time for routing decision including queuing delay at each switchis 10-3second.

In this case, which switching method has a shorter completion time? If the message size can be enlarged, is there a chance the other switching method can be better? Note: Please show your computation steps.