Do all hand clacution and dont use online or chatgpt

A company has been assigned the following public IP address : $178\mathrm{.}92\mathrm{.}6\mathrm{.}0/24,$ you are required to design subnets for four departments, with hosts as follows: Finance: $90$ hosts

Engineering: $75$ hosts

Management: $50$ hosts

Sales: $28$ hosts

a$)$ Give a possible arrangement of subnet masks for this network. What are the subnet addresses, subnet masks, first and last IP addresses, broadcast addresses and default gateway address. $[10]$

b$)$ Suggest what the company might do if the sales department grows to $40$ hosts. $[3]$

c$)$ Sketch the network diagram. $[5]$

d$)$ Identify the logical boundaries, physical boundaries and the functional areas. $[3]$