It's really not a bad idea to have such page for your business in respect for your customers. The social media most especially the Facebook, it's had been one of the most influential agent in the social life for the promotion of business.
Having a Facebook page for your business is not the difficult part but having a lot of people that are going to be following your business page is where the challenge is. This is because that is the only way the page will be able to generate traffic that will help you to sell your products.