The logic we followed when pricing it so cheap was: we are just getting started, this will help get some revenue in quickly, etc. Will think hard and perhaps reconsider the pricing model.
Also reconsider your pricing model. Charging per user per month will place a limit on how many people use the service, limiting what you can learn. Get them focusing on the value you're adding more than optimizing price. What you learn from them will be hugely valuable.
I am sure you can play around with this but it feels like this product would benefit from getting into as many users hands as possible when you are establishing yourself in a client business. Atlassian is an example of this where all of their products (or almost all of them) are $10/10 users and once you hit 11 users, it goes up quite a bit. That might seem like quite a jump but imagine what you are paying in salaries at 11 people vs. what your JIRA subscription now costs?