You want to achieve the address plan of a company that is made up of the following way:

A Marketing pole made of six departments composed of twelve rooms of $50$ machines each. The pole is likely to

welcome two new departments in the near future.

A R&D pole composed of two separate sites which one includes six research teams using each $500$ machines and

the other consisting of a shared workspace about $950$ hosts.

A Testing pole employing $14$ teams of testers, each using an average of $230$ testers.

A pole of Production brought to unfold more and equipped with an average of $1000$ machines.

To achieve your addressing plan, we propose the following network: $172\mathrm{.}16\mathrm{.}0\mathrm{.}0/16.$

We wish to carry out an addressing plan to the corporate network by limiting the number of lost IP addresses by

network and subnet. Do not use networks or sub networks of all $1$ or all $0.$

a$.$ Represent schematically, in a general form, the structure of the company to be addressed in order to highlight the

number of sub networks. Achieve this scheme and annotate it to identify the poles $($Pw$),$ the departments $($Dx$),$ the

teams $($Ey$)$ and the workspaces $($ETz$).$

b$.$ Propose a division into sub networks on your network. Give the IP addresses of each of the sub networks

resulting of your sub netting.