A certain campus is about to open a new school with three new departments A$,$ B and C$.$ The IPv$4$ address prefix of

the new School is $128\mathrm{.}232\mathrm{.}1\mathrm{.}0/24$ and it is expecting each department to have the following number of hosts:

Department A: between $40$ and $60$ hosts;

Department B: between $100$ and $120$ hosts;

Department C: between $20$ and $30$ hosts.

a$)$ The campus wishes to allocate a subnet for each department. Give possible IPv$4$ subnet masks for each new

department.

b$)$ Later, the school opens a fourth department D with $30$ hosts. Provide possible IPv$4$ subnet masks to

accommodate all four departments.

c$)$ Finally, the school opens a fifth department E of similar size to B$.$ Provide possible IPv$4$ subnet masks to

accommodate all five departments.

d$)$ Are there any practical problems with your answer to part $($c$)?$ Briefly discuss an alternative solution to

accommodate all five departments.