You shouldn't computerise just because you can.
If it works already, why change it?
Computers should be used as tools for your job, just like a pencil or pen.
I've worked for quite a few companies where the computer system controls the way that they do business, for a business where they have multi-million pound orders coming in every ten minutes then its fine to restrict the computers, because you cannot afford for them to go wrong.
However, a lot of companies who restrict the computers this way, don't actually need to, they do it just because they can, and it restricts the way the company does business, the only changes for the business then are applied via the computer system, it doesn't give any scope for the lower level employee to think of brilliant ideas.
My advice would be to work on what you can get from a computer, and it does boil down to cost savings and efficency as you've already mentioned, but you need to give example, for example the ability to do repetitive tasks or the low cost of advertising with a website.
Good luck. I hate having to produce those sort of reports.
Luckily enough though, when I have to produce a report, its normally because they actually want the computer systems so I don't have to justify it so much.
