Show details and all hand calculation and formula and not use chatgpt please

designed a small network consisting of a number of routers. In this network, there is an average of $6$ hops between any two edge routers. What is the minimum data rate $($bps$)$ to assign to all links to maintain an end$-$to$-$end delay of $300ms$ between the two edge routers?

To find the data rate, you decided to send a message of $4100$ bits from one edge router to another. The standard packet length is $2048$ bits and the header is $32$ bits. The propagation delay per hop is $3ms.$ Assume that:

There are no acknowledgments.

All routers use the store and forward technique.

The processing delay at each router is $1ms,$ and the buffering delay is $0\mathrm{.}5ms.$ Show all steps and assumptions.