Question

In packet switching networks, breaking up packets decreases transmission time because transmission is allowed in parallel $($at the same time$).$

Consider transmitting a message with B bytes where:

the packet size is P bytes;

the header size of every packet is H bytes;

it takes T ms to transmit one byte of data;

there are N nodes $($switches$)$ en route from the transmitter to the receiver;

assume zero propagation delay.

$1.$ Devise a generic formula for computing the transmission time using the following assumptions. Provide the calculation steps in addition to the final answer.

$2.$ Using the formula you have devised, compute the transmission time for a network with B$=70$ bytes, P$=20$ bytes, H$=2$ bytes T$=1\mathrm{.}5$ ms N$=3$

Notes

$-$ If you need to make any assumptions for solving the problem, please clearly state that.

$-$ Using the symbols $\text{'}*\text{'}$ and $"/"$to denote multiplication and division would be helpful.