How do I market a company to other companies?

[Ed]

I'm a marketing intern at a print and design company in Cyprus. They are a print company that operate from Limassol and provide high quality print services within southern Cyprus. The company currently provides a third of the main services required to display an advert: advertising companies take on clients and design the promotions, this company then prints the designs and then a third company provide the advertisement space.

I am in charge of starting a marketing campaign to raise awareness of the company so that we can increase our business and take on new clients. I have studied marketing during my degree but only on a level where I'm trying to market one product to the general public. What is the terminology to describe a company that sells primarily to other companies and not to the general public and does anyone have any ideas on how I can do this?

I have looked into advertising on Facebook but then realised that that is again to the general public and not many people are going to want to 'Like''a printing company...

I've been sat in this chair thinking for a week now...

Help me please!