Apologies for the late reply. Had been busy past few days. Well, first you should try to win. Even if your team didn't make it, you should try to make lots of connections with the company or understanding more about the company.

I find case competition is more of a way to building some connections with the company and hope that someone remember you or recommend you when you apply for the job in the company. At least there is a chance of something good happening isn't it? And you can also include in your resume if you are able to win the competition. It shows that you can work well in a team, think critically, able to breakdown or analyse problem-at-hand, and derive a solution in a real business environment.